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Finding the Fourth Proportional to 3,891.12, 5,826.12 and 2,717.68

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Solution

The fourth proportional to 3,891.12, 5,826.12 and 2,717.68 is: 4,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.12 : 5,826.12 = 2,717.68 : x
  2. Step 2: Convert to fraction form
    3,891.12/5,826.12 = 2,717.68/x
  3. Step 3: Cross multiply
    3,891.12x = 5,826.12 × 2,717.68
  4. Step 4: Simplify right side
    3,891.12x = 15,833,529.80
  5. Step 5: Solve for x
    x = 15,833,529.80/3,891.12
  6. Step 6: Final answer
    x = 4,069.14

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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.