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Finding the Fourth Proportional to 6,642.54, 9,961.92 and 2,259

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Solution

The fourth proportional to 6,642.54, 9,961.92 and 2,259 is: 3,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.54 : 9,961.92 = 2,259 : x
  2. Step 2: Convert to fraction form
    6,642.54/9,961.92 = 2,259/x
  3. Step 3: Cross multiply
    6,642.54x = 9,961.92 × 2,259
  4. Step 4: Simplify right side
    6,642.54x = 22,503,977.28
  5. Step 5: Solve for x
    x = 22,503,977.28/6,642.54
  6. Step 6: Final answer
    x = 3,387.86

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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.