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Finding the Fourth Proportional to 8,638.12, 11,915.20 and 6,517

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Solution

The fourth proportional to 8,638.12, 11,915.20 and 6,517 is: 8,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.12 : 11,915.20 = 6,517 : x
  2. Step 2: Convert to fraction form
    8,638.12/11,915.20 = 6,517/x
  3. Step 3: Cross multiply
    8,638.12x = 11,915.20 × 6,517
  4. Step 4: Simplify right side
    8,638.12x = 77,651,358.40
  5. Step 5: Solve for x
    x = 77,651,358.40/8,638.12
  6. Step 6: Final answer
    x = 8,989.38

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1.5x scale

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.