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Finding the Fourth Proportional to 2,601, 3,902.04 and 1,062

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Solution

The fourth proportional to 2,601, 3,902.04 and 1,062 is: 1,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,902.04 = 1,062 : x
  2. Step 2: Convert to fraction form
    2,601/3,902.04 = 1,062/x
  3. Step 3: Cross multiply
    2,601x = 3,902.04 × 1,062
  4. Step 4: Simplify right side
    2,601x = 4,143,966.48
  5. Step 5: Solve for x
    x = 4,143,966.48/2,601
  6. Step 6: Final answer
    x = 1,593.22

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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.