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Finding the Fourth Proportional to 9,321.96, 12,863.30 and 5,129.96

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Solution

The fourth proportional to 9,321.96, 12,863.30 and 5,129.96 is: 7,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.96 : 12,863.30 = 5,129.96 : x
  2. Step 2: Convert to fraction form
    9,321.96/12,863.30 = 5,129.96/x
  3. Step 3: Cross multiply
    9,321.96x = 12,863.30 × 5,129.96
  4. Step 4: Simplify right side
    9,321.96x = 65,988,214.47
  5. Step 5: Solve for x
    x = 65,988,214.47/9,321.96
  6. Step 6: Final answer
    x = 7,078.79

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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.