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Finding the Fourth Proportional to 11,915.39, 17,854.85 and 6,369.52

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Solution

The fourth proportional to 11,915.39, 17,854.85 and 6,369.52 is: 9,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.39 : 17,854.85 = 6,369.52 : x
  2. Step 2: Convert to fraction form
    11,915.39/17,854.85 = 6,369.52/x
  3. Step 3: Cross multiply
    11,915.39x = 17,854.85 × 6,369.52
  4. Step 4: Simplify right side
    11,915.39x = 113,726,824.17
  5. Step 5: Solve for x
    x = 113,726,824.17/11,915.39
  6. Step 6: Final answer
    x = 9,544.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.