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Finding the Fourth Proportional to 38,468.80, 57,638.40 and 31,859.20

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Solution

The fourth proportional to 38,468.80, 57,638.40 and 31,859.20 is: 47,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.80 : 57,638.40 = 31,859.20 : x
  2. Step 2: Convert to fraction form
    38,468.80/57,638.40 = 31,859.20/x
  3. Step 3: Cross multiply
    38,468.80x = 57,638.40 × 31,859.20
  4. Step 4: Simplify right side
    38,468.80x = 1,836,313,313.28
  5. Step 5: Solve for x
    x = 1,836,313,313.28/38,468.80
  6. Step 6: Final answer
    x = 47,735.13

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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.