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Finding the Fourth Proportional to 6,651.57, 9,979.64 and 2,272.11

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Solution

The fourth proportional to 6,651.57, 9,979.64 and 2,272.11 is: 3,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.57 : 9,979.64 = 2,272.11 : x
  2. Step 2: Convert to fraction form
    6,651.57/9,979.64 = 2,272.11/x
  3. Step 3: Cross multiply
    6,651.57x = 9,979.64 × 2,272.11
  4. Step 4: Simplify right side
    6,651.57x = 22,674,839.84
  5. Step 5: Solve for x
    x = 22,674,839.84/6,651.57
  6. Step 6: Final answer
    x = 3,408.95

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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.