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Finding the Fourth Proportional to 30,787.59, 42,486.93 and 16,640.44

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Solution

The fourth proportional to 30,787.59, 42,486.93 and 16,640.44 is: 22,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.59 : 42,486.93 = 16,640.44 : x
  2. Step 2: Convert to fraction form
    30,787.59/42,486.93 = 16,640.44/x
  3. Step 3: Cross multiply
    30,787.59x = 42,486.93 × 16,640.44
  4. Step 4: Simplify right side
    30,787.59x = 707,001,103.23
  5. Step 5: Solve for x
    x = 707,001,103.23/30,787.59
  6. Step 6: Final answer
    x = 22,963.83

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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.