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Finding the Fourth Proportional to 20,384.78, 28,132.20 and 11,432.78

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Solution

The fourth proportional to 20,384.78, 28,132.20 and 11,432.78 is: 15,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.78 : 28,132.20 = 11,432.78 : x
  2. Step 2: Convert to fraction form
    20,384.78/28,132.20 = 11,432.78/x
  3. Step 3: Cross multiply
    20,384.78x = 28,132.20 × 11,432.78
  4. Step 4: Simplify right side
    20,384.78x = 321,629,218.35
  5. Step 5: Solve for x
    x = 321,629,218.35/20,384.78
  6. Step 6: Final answer
    x = 15,777.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.