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Finding the Fourth Proportional to 2,517.19, 3,775.68 and 762.12

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Solution

The fourth proportional to 2,517.19, 3,775.68 and 762.12 is: 1,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.19 : 3,775.68 = 762.12 : x
  2. Step 2: Convert to fraction form
    2,517.19/3,775.68 = 762.12/x
  3. Step 3: Cross multiply
    2,517.19x = 3,775.68 × 762.12
  4. Step 4: Simplify right side
    2,517.19x = 2,877,521.24
  5. Step 5: Solve for x
    x = 2,877,521.24/2,517.19
  6. Step 6: Final answer
    x = 1,143.15

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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.