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Finding the Fourth Proportional to 30,787.74, 42,487.02 and 16,640.52

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Solution

The fourth proportional to 30,787.74, 42,487.02 and 16,640.52 is: 22,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.74 : 42,487.02 = 16,640.52 : x
  2. Step 2: Convert to fraction form
    30,787.74/42,487.02 = 16,640.52/x
  3. Step 3: Cross multiply
    30,787.74x = 42,487.02 × 16,640.52
  4. Step 4: Simplify right side
    30,787.74x = 707,006,106.05
  5. Step 5: Solve for x
    x = 707,006,106.05/30,787.74
  6. Step 6: Final answer
    x = 22,963.88

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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.