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Finding the Fourth Proportional to 2,561.68, 3,843.90 and 2,515.90

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Solution

The fourth proportional to 2,561.68, 3,843.90 and 2,515.90 is: 3,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.68 : 3,843.90 = 2,515.90 : x
  2. Step 2: Convert to fraction form
    2,561.68/3,843.90 = 2,515.90/x
  3. Step 3: Cross multiply
    2,561.68x = 3,843.90 × 2,515.90
  4. Step 4: Simplify right side
    2,561.68x = 9,670,868.01
  5. Step 5: Solve for x
    x = 9,670,868.01/2,561.68
  6. Step 6: Final answer
    x = 3,775.21

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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.