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Finding the Fourth Proportional to 2,600.77, 3,902.13 and 1,561.52

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Solution

The fourth proportional to 2,600.77, 3,902.13 and 1,561.52 is: 2,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.77 : 3,902.13 = 1,561.52 : x
  2. Step 2: Convert to fraction form
    2,600.77/3,902.13 = 1,561.52/x
  3. Step 3: Cross multiply
    2,600.77x = 3,902.13 × 1,561.52
  4. Step 4: Simplify right side
    2,600.77x = 6,093,254.04
  5. Step 5: Solve for x
    x = 6,093,254.04/2,600.77
  6. Step 6: Final answer
    x = 2,342.87

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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.