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Finding the Fourth Proportional to 10,691.12, 14,753.78 and 6,214.96

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Solution

The fourth proportional to 10,691.12, 14,753.78 and 6,214.96 is: 8,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.12 : 14,753.78 = 6,214.96 : x
  2. Step 2: Convert to fraction form
    10,691.12/14,753.78 = 6,214.96/x
  3. Step 3: Cross multiply
    10,691.12x = 14,753.78 × 6,214.96
  4. Step 4: Simplify right side
    10,691.12x = 91,694,152.55
  5. Step 5: Solve for x
    x = 91,694,152.55/10,691.12
  6. Step 6: Final answer
    x = 8,576.66

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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.