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Finding the Fourth Proportional to 38,462.80, 57,710.40 and 20,945.20

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Solution

The fourth proportional to 38,462.80, 57,710.40 and 20,945.20 is: 31,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.80 : 57,710.40 = 20,945.20 : x
  2. Step 2: Convert to fraction form
    38,462.80/57,710.40 = 20,945.20/x
  3. Step 3: Cross multiply
    38,462.80x = 57,710.40 × 20,945.20
  4. Step 4: Simplify right side
    38,462.80x = 1,208,755,870.08
  5. Step 5: Solve for x
    x = 1,208,755,870.08/38,462.80
  6. Step 6: Final answer
    x = 31,426.62

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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.