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Finding the Fourth Proportional to 9,679.61, 13,357.80 and 5,372.66

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Solution

The fourth proportional to 9,679.61, 13,357.80 and 5,372.66 is: 7,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.61 : 13,357.80 = 5,372.66 : x
  2. Step 2: Convert to fraction form
    9,679.61/13,357.80 = 5,372.66/x
  3. Step 3: Cross multiply
    9,679.61x = 13,357.80 × 5,372.66
  4. Step 4: Simplify right side
    9,679.61x = 71,766,850.96
  5. Step 5: Solve for x
    x = 71,766,850.96/9,679.61
  6. Step 6: Final answer
    x = 7,414.23

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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.