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Finding the Fourth Proportional to 8,566.28, 12,849.88 and 8,098.78

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Solution

The fourth proportional to 8,566.28, 12,849.88 and 8,098.78 is: 12,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.28 : 12,849.88 = 8,098.78 : x
  2. Step 2: Convert to fraction form
    8,566.28/12,849.88 = 8,098.78/x
  3. Step 3: Cross multiply
    8,566.28x = 12,849.88 × 8,098.78
  4. Step 4: Simplify right side
    8,566.28x = 104,068,351.15
  5. Step 5: Solve for x
    x = 104,068,351.15/8,566.28
  6. Step 6: Final answer
    x = 12,148.60

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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.