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Finding the Fourth Proportional to 6,488.88, 9,731.88 and 3,891.12

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Solution

The fourth proportional to 6,488.88, 9,731.88 and 3,891.12 is: 5,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.88 : 9,731.88 = 3,891.12 : x
  2. Step 2: Convert to fraction form
    6,488.88/9,731.88 = 3,891.12/x
  3. Step 3: Cross multiply
    6,488.88x = 9,731.88 × 3,891.12
  4. Step 4: Simplify right side
    6,488.88x = 37,867,912.91
  5. Step 5: Solve for x
    x = 37,867,912.91/6,488.88
  6. Step 6: Final answer
    x = 5,835.82

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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.