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Finding the Fourth Proportional to 2,600.79, 3,589.23 and 1,606.65

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Solution

The fourth proportional to 2,600.79, 3,589.23 and 1,606.65 is: 2,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.79 : 3,589.23 = 1,606.65 : x
  2. Step 2: Convert to fraction form
    2,600.79/3,589.23 = 1,606.65/x
  3. Step 3: Cross multiply
    2,600.79x = 3,589.23 × 1,606.65
  4. Step 4: Simplify right side
    2,600.79x = 5,766,636.38
  5. Step 5: Solve for x
    x = 5,766,636.38/2,600.79
  6. Step 6: Final answer
    x = 2,217.26

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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.