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Finding the Fourth Proportional to 38,400.80, 57,617.92 and 13,458.80

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Solution

The fourth proportional to 38,400.80, 57,617.92 and 13,458.80 is: 20,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.80 : 57,617.92 = 13,458.80 : x
  2. Step 2: Convert to fraction form
    38,400.80/57,617.92 = 13,458.80/x
  3. Step 3: Cross multiply
    38,400.80x = 57,617.92 × 13,458.80
  4. Step 4: Simplify right side
    38,400.80x = 775,468,061.70
  5. Step 5: Solve for x
    x = 775,468,061.70/38,400.80
  6. Step 6: Final answer
    x = 20,194.06

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1.5x scale

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.