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Finding the Fourth Proportional to 7,763.52, 11,645.12 and 3,082.80

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Solution

The fourth proportional to 7,763.52, 11,645.12 and 3,082.80 is: 4,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.52 : 11,645.12 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    7,763.52/11,645.12 = 3,082.80/x
  3. Step 3: Cross multiply
    7,763.52x = 11,645.12 × 3,082.80
  4. Step 4: Simplify right side
    7,763.52x = 35,899,575.94
  5. Step 5: Solve for x
    x = 35,899,575.94/7,763.52
  6. Step 6: Final answer
    x = 4,624.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.