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Finding the Fourth Proportional to 11,157.52, 15,397.86 and 6,682

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Solution

The fourth proportional to 11,157.52, 15,397.86 and 6,682 is: 9,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.52 : 15,397.86 = 6,682 : x
  2. Step 2: Convert to fraction form
    11,157.52/15,397.86 = 6,682/x
  3. Step 3: Cross multiply
    11,157.52x = 15,397.86 × 6,682
  4. Step 4: Simplify right side
    11,157.52x = 102,888,500.52
  5. Step 5: Solve for x
    x = 102,888,500.52/11,157.52
  6. Step 6: Final answer
    x = 9,221.45

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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.