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Finding the Fourth Proportional to 38,690.40, 57,938.40 and 25,471.20

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Solution

The fourth proportional to 38,690.40, 57,938.40 and 25,471.20 is: 38,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690.40 : 57,938.40 = 25,471.20 : x
  2. Step 2: Convert to fraction form
    38,690.40/57,938.40 = 25,471.20/x
  3. Step 3: Cross multiply
    38,690.40x = 57,938.40 × 25,471.20
  4. Step 4: Simplify right side
    38,690.40x = 1,475,760,574.08
  5. Step 5: Solve for x
    x = 1,475,760,574.08/38,690.40
  6. Step 6: Final answer
    x = 38,142.81

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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.