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Finding the Fourth Proportional to 6,488.88, 9,729.12 and 2,790.08

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Solution

The fourth proportional to 6,488.88, 9,729.12 and 2,790.08 is: 4,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.88 : 9,729.12 = 2,790.08 : x
  2. Step 2: Convert to fraction form
    6,488.88/9,729.12 = 2,790.08/x
  3. Step 3: Cross multiply
    6,488.88x = 9,729.12 × 2,790.08
  4. Step 4: Simplify right side
    6,488.88x = 27,145,023.13
  5. Step 5: Solve for x
    x = 27,145,023.13/6,488.88
  6. Step 6: Final answer
    x = 4,183.31

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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.