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Finding the Fourth Proportional to 8,732.42, 13,120.50 and 8,207.54

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Solution

The fourth proportional to 8,732.42, 13,120.50 and 8,207.54 is: 12,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.42 : 13,120.50 = 8,207.54 : x
  2. Step 2: Convert to fraction form
    8,732.42/13,120.50 = 8,207.54/x
  3. Step 3: Cross multiply
    8,732.42x = 13,120.50 × 8,207.54
  4. Step 4: Simplify right side
    8,732.42x = 107,686,962.97
  5. Step 5: Solve for x
    x = 107,686,962.97/8,732.42
  6. Step 6: Final answer
    x = 12,331.87

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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.