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Finding the Fourth Proportional to 9,138.05, 12,611.10 and 5,157.71

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Solution

The fourth proportional to 9,138.05, 12,611.10 and 5,157.71 is: 7,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.05 : 12,611.10 = 5,157.71 : x
  2. Step 2: Convert to fraction form
    9,138.05/12,611.10 = 5,157.71/x
  3. Step 3: Cross multiply
    9,138.05x = 12,611.10 × 5,157.71
  4. Step 4: Simplify right side
    9,138.05x = 65,044,396.58
  5. Step 5: Solve for x
    x = 65,044,396.58/9,138.05
  6. Step 6: Final answer
    x = 7,117.97

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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.