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Finding the Fourth Proportional to 22,424.76, 30,946.16 and 12,998.78

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Solution

The fourth proportional to 22,424.76, 30,946.16 and 12,998.78 is: 17,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.76 : 30,946.16 = 12,998.78 : x
  2. Step 2: Convert to fraction form
    22,424.76/30,946.16 = 12,998.78/x
  3. Step 3: Cross multiply
    22,424.76x = 30,946.16 × 12,998.78
  4. Step 4: Simplify right side
    22,424.76x = 402,262,325.68
  5. Step 5: Solve for x
    x = 402,262,325.68/22,424.76
  6. Step 6: Final answer
    x = 17,938.31

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.