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Finding the Fourth Proportional to 9,082.20, 12,741 and 9,082.20

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Solution

The fourth proportional to 9,082.20, 12,741 and 9,082.20 is: 12,741

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.20 : 12,741 = 9,082.20 : x
  2. Step 2: Convert to fraction form
    9,082.20/12,741 = 9,082.20/x
  3. Step 3: Cross multiply
    9,082.20x = 12,741 × 9,082.20
  4. Step 4: Simplify right side
    9,082.20x = 115,716,310.20
  5. Step 5: Solve for x
    x = 115,716,310.20/9,082.20
  6. Step 6: Final answer
    x = 12,741

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Half scale
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Double scale
Find fourth proportional to 9,083.20, 12,742.40 and 9,083.20
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.