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Finding the Fourth Proportional to 8,765.22, 13,147.59 and 2,921.94

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Solution

The fourth proportional to 8,765.22, 13,147.59 and 2,921.94 is: 4,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.22 : 13,147.59 = 2,921.94 : x
  2. Step 2: Convert to fraction form
    8,765.22/13,147.59 = 2,921.94/x
  3. Step 3: Cross multiply
    8,765.22x = 13,147.59 × 2,921.94
  4. Step 4: Simplify right side
    8,765.22x = 38,416,469.12
  5. Step 5: Solve for x
    x = 38,416,469.12/8,765.22
  6. Step 6: Final answer
    x = 4,382.83

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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.