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Finding the Fourth Proportional to 2,515.65, 3,772.80 and 760.38

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Solution

The fourth proportional to 2,515.65, 3,772.80 and 760.38 is: 1,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.65 : 3,772.80 = 760.38 : x
  2. Step 2: Convert to fraction form
    2,515.65/3,772.80 = 760.38/x
  3. Step 3: Cross multiply
    2,515.65x = 3,772.80 × 760.38
  4. Step 4: Simplify right side
    2,515.65x = 2,868,761.66
  5. Step 5: Solve for x
    x = 2,868,761.66/2,515.65
  6. Step 6: Final answer
    x = 1,140.37

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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.