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Finding the Fourth Proportional to 2,457.38, 3,686.07 and 725.87

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Solution

The fourth proportional to 2,457.38, 3,686.07 and 725.87 is: 1,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.38 : 3,686.07 = 725.87 : x
  2. Step 2: Convert to fraction form
    2,457.38/3,686.07 = 725.87/x
  3. Step 3: Cross multiply
    2,457.38x = 3,686.07 × 725.87
  4. Step 4: Simplify right side
    2,457.38x = 2,675,607.63
  5. Step 5: Solve for x
    x = 2,675,607.63/2,457.38
  6. Step 6: Final answer
    x = 1,088.81

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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.