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Finding the Fourth Proportional to 2,726.57, 3,761.81 and 1,547.42

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Solution

The fourth proportional to 2,726.57, 3,761.81 and 1,547.42 is: 2,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.57 : 3,761.81 = 1,547.42 : x
  2. Step 2: Convert to fraction form
    2,726.57/3,761.81 = 1,547.42/x
  3. Step 3: Cross multiply
    2,726.57x = 3,761.81 × 1,547.42
  4. Step 4: Simplify right side
    2,726.57x = 5,821,073.48
  5. Step 5: Solve for x
    x = 5,821,073.48/2,726.57
  6. Step 6: Final answer
    x = 2,134.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.