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Finding the Fourth Proportional to 31,006.44, 42,787.17 and 16,859.16

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Solution

The fourth proportional to 31,006.44, 42,787.17 and 16,859.16 is: 23,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.44 : 42,787.17 = 16,859.16 : x
  2. Step 2: Convert to fraction form
    31,006.44/42,787.17 = 16,859.16/x
  3. Step 3: Cross multiply
    31,006.44x = 42,787.17 × 16,859.16
  4. Step 4: Simplify right side
    31,006.44x = 721,355,744.98
  5. Step 5: Solve for x
    x = 721,355,744.98/31,006.44
  6. Step 6: Final answer
    x = 23,264.71

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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.