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Finding the Fourth Proportional to 8,151.60, 12,227.40 and 7,665.60

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Solution

The fourth proportional to 8,151.60, 12,227.40 and 7,665.60 is: 11,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.60 : 12,227.40 = 7,665.60 : x
  2. Step 2: Convert to fraction form
    8,151.60/12,227.40 = 7,665.60/x
  3. Step 3: Cross multiply
    8,151.60x = 12,227.40 × 7,665.60
  4. Step 4: Simplify right side
    8,151.60x = 93,730,357.44
  5. Step 5: Solve for x
    x = 93,730,357.44/8,151.60
  6. Step 6: Final answer
    x = 11,498.40

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Similar ratio
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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.