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Finding the Fourth Proportional to 8,157.32, 12,125.99 and 7,917.86

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Solution

The fourth proportional to 8,157.32, 12,125.99 and 7,917.86 is: 11,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.32 : 12,125.99 = 7,917.86 : x
  2. Step 2: Convert to fraction form
    8,157.32/12,125.99 = 7,917.86/x
  3. Step 3: Cross multiply
    8,157.32x = 12,125.99 × 7,917.86
  4. Step 4: Simplify right side
    8,157.32x = 96,011,891.18
  5. Step 5: Solve for x
    x = 96,011,891.18/8,157.32
  6. Step 6: Final answer
    x = 11,770.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.