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Finding the Fourth Proportional to 2,507.07, 3,761.28 and 863.66

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Solution

The fourth proportional to 2,507.07, 3,761.28 and 863.66 is: 1,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.07 : 3,761.28 = 863.66 : x
  2. Step 2: Convert to fraction form
    2,507.07/3,761.28 = 863.66/x
  3. Step 3: Cross multiply
    2,507.07x = 3,761.28 × 863.66
  4. Step 4: Simplify right side
    2,507.07x = 3,248,448.28
  5. Step 5: Solve for x
    x = 3,248,448.28/2,507.07
  6. Step 6: Final answer
    x = 1,295.72

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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.