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Finding the Fourth Proportional to 9,900.96, 13,658.15 and 6,122.92

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Solution

The fourth proportional to 9,900.96, 13,658.15 and 6,122.92 is: 8,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.96 : 13,658.15 = 6,122.92 : x
  2. Step 2: Convert to fraction form
    9,900.96/13,658.15 = 6,122.92/x
  3. Step 3: Cross multiply
    9,900.96x = 13,658.15 × 6,122.92
  4. Step 4: Simplify right side
    9,900.96x = 83,627,759.80
  5. Step 5: Solve for x
    x = 83,627,759.80/9,900.96
  6. Step 6: Final answer
    x = 8,446.43

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Half scale
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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.