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Finding the Fourth Proportional to 6,729.78, 9,294.90 and 4,488

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Solution

The fourth proportional to 6,729.78, 9,294.90 and 4,488 is: 6,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.78 : 9,294.90 = 4,488 : x
  2. Step 2: Convert to fraction form
    6,729.78/9,294.90 = 4,488/x
  3. Step 3: Cross multiply
    6,729.78x = 9,294.90 × 4,488
  4. Step 4: Simplify right side
    6,729.78x = 41,715,511.20
  5. Step 5: Solve for x
    x = 41,715,511.20/6,729.78
  6. Step 6: Final answer
    x = 6,198.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.