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Finding the Fourth Proportional to 8,697.84, 11,946.90 and 8,531.88

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Solution

The fourth proportional to 8,697.84, 11,946.90 and 8,531.88 is: 11,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.84 : 11,946.90 = 8,531.88 : x
  2. Step 2: Convert to fraction form
    8,697.84/11,946.90 = 8,531.88/x
  3. Step 3: Cross multiply
    8,697.84x = 11,946.90 × 8,531.88
  4. Step 4: Simplify right side
    8,697.84x = 101,929,517.17
  5. Step 5: Solve for x
    x = 101,929,517.17/8,697.84
  6. Step 6: Final answer
    x = 11,718.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.