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Finding the Fourth Proportional to 9,098.68, 12,557.82 and 6,446.20

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Solution

The fourth proportional to 9,098.68, 12,557.82 and 6,446.20 is: 8,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.68 : 12,557.82 = 6,446.20 : x
  2. Step 2: Convert to fraction form
    9,098.68/12,557.82 = 6,446.20/x
  3. Step 3: Cross multiply
    9,098.68x = 12,557.82 × 6,446.20
  4. Step 4: Simplify right side
    9,098.68x = 80,950,219.28
  5. Step 5: Solve for x
    x = 80,950,219.28/9,098.68
  6. Step 6: Final answer
    x = 8,896.92

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Double scale
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Similar ratio
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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.