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Finding the Fourth Proportional to 2,613.29, 3,919.52 and 763.97

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Solution

The fourth proportional to 2,613.29, 3,919.52 and 763.97 is: 1,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.29 : 3,919.52 = 763.97 : x
  2. Step 2: Convert to fraction form
    2,613.29/3,919.52 = 763.97/x
  3. Step 3: Cross multiply
    2,613.29x = 3,919.52 × 763.97
  4. Step 4: Simplify right side
    2,613.29x = 2,994,378.01
  5. Step 5: Solve for x
    x = 2,994,378.01/2,613.29
  6. Step 6: Final answer
    x = 1,145.83

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