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Finding the Fourth Proportional to 31,702.52, 43,737 and 20,370.32

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Solution

The fourth proportional to 31,702.52, 43,737 and 20,370.32 is: 28,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.52 : 43,737 = 20,370.32 : x
  2. Step 2: Convert to fraction form
    31,702.52/43,737 = 20,370.32/x
  3. Step 3: Cross multiply
    31,702.52x = 43,737 × 20,370.32
  4. Step 4: Simplify right side
    31,702.52x = 890,936,685.84
  5. Step 5: Solve for x
    x = 890,936,685.84/31,702.52
  6. Step 6: Final answer
    x = 28,103.02

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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.