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Finding the Fourth Proportional to 2,458.14, 3,687.24 and 726.80

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Solution

The fourth proportional to 2,458.14, 3,687.24 and 726.80 is: 1,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.14 : 3,687.24 = 726.80 : x
  2. Step 2: Convert to fraction form
    2,458.14/3,687.24 = 726.80/x
  3. Step 3: Cross multiply
    2,458.14x = 3,687.24 × 726.80
  4. Step 4: Simplify right side
    2,458.14x = 2,679,886.03
  5. Step 5: Solve for x
    x = 2,679,886.03/2,458.14
  6. Step 6: Final answer
    x = 1,090.21

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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.