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Finding the Fourth Proportional to 8,342.82, 11,486.84 and 7,081.24

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Solution

The fourth proportional to 8,342.82, 11,486.84 and 7,081.24 is: 9,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.82 : 11,486.84 = 7,081.24 : x
  2. Step 2: Convert to fraction form
    8,342.82/11,486.84 = 7,081.24/x
  3. Step 3: Cross multiply
    8,342.82x = 11,486.84 × 7,081.24
  4. Step 4: Simplify right side
    8,342.82x = 81,341,070.88
  5. Step 5: Solve for x
    x = 81,341,070.88/8,342.82
  6. Step 6: Final answer
    x = 9,749.83

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Double scale
Find fourth proportional to 8,343.82, 11,488.22 and 7,082.24
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.