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Finding the Fourth Proportional to 22,424.25, 30,949.11 and 12,998.28

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Solution

The fourth proportional to 22,424.25, 30,949.11 and 12,998.28 is: 17,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.25 : 30,949.11 = 12,998.28 : x
  2. Step 2: Convert to fraction form
    22,424.25/30,949.11 = 12,998.28/x
  3. Step 3: Cross multiply
    22,424.25x = 30,949.11 × 12,998.28
  4. Step 4: Simplify right side
    22,424.25x = 402,285,197.53
  5. Step 5: Solve for x
    x = 402,285,197.53/22,424.25
  6. Step 6: Final answer
    x = 17,939.74

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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.