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Finding the Fourth Proportional to 3,952.49, 5,919.99 and 2,561.61

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Solution

The fourth proportional to 3,952.49, 5,919.99 and 2,561.61 is: 3,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.49 : 5,919.99 = 2,561.61 : x
  2. Step 2: Convert to fraction form
    3,952.49/5,919.99 = 2,561.61/x
  3. Step 3: Cross multiply
    3,952.49x = 5,919.99 × 2,561.61
  4. Step 4: Simplify right side
    3,952.49x = 15,164,727.78
  5. Step 5: Solve for x
    x = 15,164,727.78/3,952.49
  6. Step 6: Final answer
    x = 3,836.76

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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.