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Finding the Fourth Proportional to 8,082.72, 11,174.19 and 8,008.92

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Solution

The fourth proportional to 8,082.72, 11,174.19 and 8,008.92 is: 11,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.72 : 11,174.19 = 8,008.92 : x
  2. Step 2: Convert to fraction form
    8,082.72/11,174.19 = 8,008.92/x
  3. Step 3: Cross multiply
    8,082.72x = 11,174.19 × 8,008.92
  4. Step 4: Simplify right side
    8,082.72x = 89,493,193.77
  5. Step 5: Solve for x
    x = 89,493,193.77/8,082.72
  6. Step 6: Final answer
    x = 11,072.16

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Half scale
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Double scale
Find fourth proportional to 8,083.72, 11,175.57 and 8,009.92
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.