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Finding the Fourth Proportional to 7,147.91, 9,863.89 and 3,917.72

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Solution

The fourth proportional to 7,147.91, 9,863.89 and 3,917.72 is: 5,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.91 : 9,863.89 = 3,917.72 : x
  2. Step 2: Convert to fraction form
    7,147.91/9,863.89 = 3,917.72/x
  3. Step 3: Cross multiply
    7,147.91x = 9,863.89 × 3,917.72
  4. Step 4: Simplify right side
    7,147.91x = 38,643,974.00
  5. Step 5: Solve for x
    x = 38,643,974.00/7,147.91
  6. Step 6: Final answer
    x = 5,406.33

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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.