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Finding the Fourth Proportional to 31,753.68, 47,620.28 and 10,688

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Solution

The fourth proportional to 31,753.68, 47,620.28 and 10,688 is: 16,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.68 : 47,620.28 = 10,688 : x
  2. Step 2: Convert to fraction form
    31,753.68/47,620.28 = 10,688/x
  3. Step 3: Cross multiply
    31,753.68x = 47,620.28 × 10,688
  4. Step 4: Simplify right side
    31,753.68x = 508,965,552.64
  5. Step 5: Solve for x
    x = 508,965,552.64/31,753.68
  6. Step 6: Final answer
    x = 16,028.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.