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Finding the Fourth Proportional to 38,702.80, 57,892.20 and 34,782.40

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Solution

The fourth proportional to 38,702.80, 57,892.20 and 34,782.40 is: 52,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.80 : 57,892.20 = 34,782.40 : x
  2. Step 2: Convert to fraction form
    38,702.80/57,892.20 = 34,782.40/x
  3. Step 3: Cross multiply
    38,702.80x = 57,892.20 × 34,782.40
  4. Step 4: Simplify right side
    38,702.80x = 2,013,629,657.28
  5. Step 5: Solve for x
    x = 2,013,629,657.28/38,702.80
  6. Step 6: Final answer
    x = 52,028.01

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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.