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Finding the Fourth Proportional to 20,132.40, 30,187.80 and 8,432.40

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Solution

The fourth proportional to 20,132.40, 30,187.80 and 8,432.40 is: 12,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.40 : 30,187.80 = 8,432.40 : x
  2. Step 2: Convert to fraction form
    20,132.40/30,187.80 = 8,432.40/x
  3. Step 3: Cross multiply
    20,132.40x = 30,187.80 × 8,432.40
  4. Step 4: Simplify right side
    20,132.40x = 254,555,604.72
  5. Step 5: Solve for x
    x = 254,555,604.72/20,132.40
  6. Step 6: Final answer
    x = 12,644.08

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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.