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Finding the Fourth Proportional to 7,891.68, 11,836.71 and 4,961.10

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Solution

The fourth proportional to 7,891.68, 11,836.71 and 4,961.10 is: 7,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.68 : 11,836.71 = 4,961.10 : x
  2. Step 2: Convert to fraction form
    7,891.68/11,836.71 = 4,961.10/x
  3. Step 3: Cross multiply
    7,891.68x = 11,836.71 × 4,961.10
  4. Step 4: Simplify right side
    7,891.68x = 58,723,101.98
  5. Step 5: Solve for x
    x = 58,723,101.98/7,891.68
  6. Step 6: Final answer
    x = 7,441.14

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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.