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Finding the Fourth Proportional to 6,915.38, 10,347.10 and 6,540.26

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Solution

The fourth proportional to 6,915.38, 10,347.10 and 6,540.26 is: 9,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.38 : 10,347.10 = 6,540.26 : x
  2. Step 2: Convert to fraction form
    6,915.38/10,347.10 = 6,540.26/x
  3. Step 3: Cross multiply
    6,915.38x = 10,347.10 × 6,540.26
  4. Step 4: Simplify right side
    6,915.38x = 67,672,656.16
  5. Step 5: Solve for x
    x = 67,672,656.16/6,915.38
  6. Step 6: Final answer
    x = 9,785.83

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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.