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Finding the Fourth Proportional to 2,726.54, 3,761.93 and 1,731.45

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Solution

The fourth proportional to 2,726.54, 3,761.93 and 1,731.45 is: 2,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.54 : 3,761.93 = 1,731.45 : x
  2. Step 2: Convert to fraction form
    2,726.54/3,761.93 = 1,731.45/x
  3. Step 3: Cross multiply
    2,726.54x = 3,761.93 × 1,731.45
  4. Step 4: Simplify right side
    2,726.54x = 6,513,598.03
  5. Step 5: Solve for x
    x = 6,513,598.03/2,726.54
  6. Step 6: Final answer
    x = 2,388.97

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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.