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Finding the Fourth Proportional to 8,882.12, 12,242.85 and 8,157.98

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Solution

The fourth proportional to 8,882.12, 12,242.85 and 8,157.98 is: 11,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.12 : 12,242.85 = 8,157.98 : x
  2. Step 2: Convert to fraction form
    8,882.12/12,242.85 = 8,157.98/x
  3. Step 3: Cross multiply
    8,882.12x = 12,242.85 × 8,157.98
  4. Step 4: Simplify right side
    8,882.12x = 99,876,925.46
  5. Step 5: Solve for x
    x = 99,876,925.46/8,882.12
  6. Step 6: Final answer
    x = 11,244.71

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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.