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Finding the Fourth Proportional to 8,764, 13,147.92 and 3,292

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Solution

The fourth proportional to 8,764, 13,147.92 and 3,292 is: 4,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764 : 13,147.92 = 3,292 : x
  2. Step 2: Convert to fraction form
    8,764/13,147.92 = 3,292/x
  3. Step 3: Cross multiply
    8,764x = 13,147.92 × 3,292
  4. Step 4: Simplify right side
    8,764x = 43,282,952.64
  5. Step 5: Solve for x
    x = 43,282,952.64/8,764
  6. Step 6: Final answer
    x = 4,938.72

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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.