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Finding the Fourth Proportional to 8,957, 12,367.96 and 7,766.30

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Solution

The fourth proportional to 8,957, 12,367.96 and 7,766.30 is: 10,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957 : 12,367.96 = 7,766.30 : x
  2. Step 2: Convert to fraction form
    8,957/12,367.96 = 7,766.30/x
  3. Step 3: Cross multiply
    8,957x = 12,367.96 × 7,766.30
  4. Step 4: Simplify right side
    8,957x = 96,053,287.75
  5. Step 5: Solve for x
    x = 96,053,287.75/8,957
  6. Step 6: Final answer
    x = 10,723.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.