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Finding the Fourth Proportional to 6,651.78, 9,979.40 and 2,492.12

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Solution

The fourth proportional to 6,651.78, 9,979.40 and 2,492.12 is: 3,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.78 : 9,979.40 = 2,492.12 : x
  2. Step 2: Convert to fraction form
    6,651.78/9,979.40 = 2,492.12/x
  3. Step 3: Cross multiply
    6,651.78x = 9,979.40 × 2,492.12
  4. Step 4: Simplify right side
    6,651.78x = 24,869,799.97
  5. Step 5: Solve for x
    x = 24,869,799.97/6,651.78
  6. Step 6: Final answer
    x = 3,738.82

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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.