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Finding the Fourth Proportional to 38,480.40, 57,731.76 and 18,770.40

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Solution

The fourth proportional to 38,480.40, 57,731.76 and 18,770.40 is: 28,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.40 : 57,731.76 = 18,770.40 : x
  2. Step 2: Convert to fraction form
    38,480.40/57,731.76 = 18,770.40/x
  3. Step 3: Cross multiply
    38,480.40x = 57,731.76 × 18,770.40
  4. Step 4: Simplify right side
    38,480.40x = 1,083,648,227.90
  5. Step 5: Solve for x
    x = 1,083,648,227.90/38,480.40
  6. Step 6: Final answer
    x = 28,161.04

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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.