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Finding the Fourth Proportional to 38,702.80, 57,967.80 and 29,909.20

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Solution

The fourth proportional to 38,702.80, 57,967.80 and 29,909.20 is: 44,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.80 : 57,967.80 = 29,909.20 : x
  2. Step 2: Convert to fraction form
    38,702.80/57,967.80 = 29,909.20/x
  3. Step 3: Cross multiply
    38,702.80x = 57,967.80 × 29,909.20
  4. Step 4: Simplify right side
    38,702.80x = 1,733,770,523.76
  5. Step 5: Solve for x
    x = 1,733,770,523.76/38,702.80
  6. Step 6: Final answer
    x = 44,797.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.