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Finding the Fourth Proportional to 2,507.25, 3,761.39 and 752.18

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Solution

The fourth proportional to 2,507.25, 3,761.39 and 752.18 is: 1,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.25 : 3,761.39 = 752.18 : x
  2. Step 2: Convert to fraction form
    2,507.25/3,761.39 = 752.18/x
  3. Step 3: Cross multiply
    2,507.25x = 3,761.39 × 752.18
  4. Step 4: Simplify right side
    2,507.25x = 2,829,219.76
  5. Step 5: Solve for x
    x = 2,829,219.76/2,507.25
  6. Step 6: Final answer
    x = 1,128.42

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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.