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Finding the Fourth Proportional to 38,274, 57,413.20 and 13,650

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Solution

The fourth proportional to 38,274, 57,413.20 and 13,650 is: 20,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 57,413.20 = 13,650 : x
  2. Step 2: Convert to fraction form
    38,274/57,413.20 = 13,650/x
  3. Step 3: Cross multiply
    38,274x = 57,413.20 × 13,650
  4. Step 4: Simplify right side
    38,274x = 783,690,180
  5. Step 5: Solve for x
    x = 783,690,180/38,274
  6. Step 6: Final answer
    x = 20,475.78

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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.