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Finding the Fourth Proportional to 2,601, 3,589.38 and 1,497

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Solution

The fourth proportional to 2,601, 3,589.38 and 1,497 is: 2,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,589.38 = 1,497 : x
  2. Step 2: Convert to fraction form
    2,601/3,589.38 = 1,497/x
  3. Step 3: Cross multiply
    2,601x = 3,589.38 × 1,497
  4. Step 4: Simplify right side
    2,601x = 5,373,301.86
  5. Step 5: Solve for x
    x = 5,373,301.86/2,601
  6. Step 6: Final answer
    x = 2,065.86

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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.