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Finding the Fourth Proportional to 8,523.68, 12,757.86 and 7,342.70

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Solution

The fourth proportional to 8,523.68, 12,757.86 and 7,342.70 is: 10,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.68 : 12,757.86 = 7,342.70 : x
  2. Step 2: Convert to fraction form
    8,523.68/12,757.86 = 7,342.70/x
  3. Step 3: Cross multiply
    8,523.68x = 12,757.86 × 7,342.70
  4. Step 4: Simplify right side
    8,523.68x = 93,677,138.62
  5. Step 5: Solve for x
    x = 93,677,138.62/8,523.68
  6. Step 6: Final answer
    x = 10,990.22

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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.