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Finding the Fourth Proportional to 20,542.78, 30,806.88 and 7,391.62

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Solution

The fourth proportional to 20,542.78, 30,806.88 and 7,391.62 is: 11,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.78 : 30,806.88 = 7,391.62 : x
  2. Step 2: Convert to fraction form
    20,542.78/30,806.88 = 7,391.62/x
  3. Step 3: Cross multiply
    20,542.78x = 30,806.88 × 7,391.62
  4. Step 4: Simplify right side
    20,542.78x = 227,712,750.35
  5. Step 5: Solve for x
    x = 227,712,750.35/20,542.78
  6. Step 6: Final answer
    x = 11,084.81

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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.