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Finding the Fourth Proportional to 30,787.72, 42,487.04 and 16,640.57

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Solution

The fourth proportional to 30,787.72, 42,487.04 and 16,640.57 is: 22,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.72 : 42,487.04 = 16,640.57 : x
  2. Step 2: Convert to fraction form
    30,787.72/42,487.04 = 16,640.57/x
  3. Step 3: Cross multiply
    30,787.72x = 42,487.04 × 16,640.57
  4. Step 4: Simplify right side
    30,787.72x = 707,008,435.04
  5. Step 5: Solve for x
    x = 707,008,435.04/30,787.72
  6. Step 6: Final answer
    x = 22,963.97

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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.