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Finding the Fourth Proportional to 12,407.71, 17,125.34 and 7,631.76

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Solution

The fourth proportional to 12,407.71, 17,125.34 and 7,631.76 is: 10,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.71 : 17,125.34 = 7,631.76 : x
  2. Step 2: Convert to fraction form
    12,407.71/17,125.34 = 7,631.76/x
  3. Step 3: Cross multiply
    12,407.71x = 17,125.34 × 7,631.76
  4. Step 4: Simplify right side
    12,407.71x = 130,696,484.80
  5. Step 5: Solve for x
    x = 130,696,484.80/12,407.71
  6. Step 6: Final answer
    x = 10,533.49

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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.