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Finding the Fourth Proportional to 2,456.51, 3,685.04 and 725.13

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Solution

The fourth proportional to 2,456.51, 3,685.04 and 725.13 is: 1,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.51 : 3,685.04 = 725.13 : x
  2. Step 2: Convert to fraction form
    2,456.51/3,685.04 = 725.13/x
  3. Step 3: Cross multiply
    2,456.51x = 3,685.04 × 725.13
  4. Step 4: Simplify right side
    2,456.51x = 2,672,129.43
  5. Step 5: Solve for x
    x = 2,672,129.43/2,456.51
  6. Step 6: Final answer
    x = 1,087.78

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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.