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Finding the Fourth Proportional to 2,518.26, 3,776.61 and 763.19

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Solution

The fourth proportional to 2,518.26, 3,776.61 and 763.19 is: 1,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.26 : 3,776.61 = 763.19 : x
  2. Step 2: Convert to fraction form
    2,518.26/3,776.61 = 763.19/x
  3. Step 3: Cross multiply
    2,518.26x = 3,776.61 × 763.19
  4. Step 4: Simplify right side
    2,518.26x = 2,882,280.43
  5. Step 5: Solve for x
    x = 2,882,280.43/2,518.26
  6. Step 6: Final answer
    x = 1,144.55

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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.