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Finding the Fourth Proportional to 7,871.75, 11,793.71 and 7,013.69

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Solution

The fourth proportional to 7,871.75, 11,793.71 and 7,013.69 is: 10,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.75 : 11,793.71 = 7,013.69 : x
  2. Step 2: Convert to fraction form
    7,871.75/11,793.71 = 7,013.69/x
  3. Step 3: Cross multiply
    7,871.75x = 11,793.71 × 7,013.69
  4. Step 4: Simplify right side
    7,871.75x = 82,717,331.85
  5. Step 5: Solve for x
    x = 82,717,331.85/7,871.75
  6. Step 6: Final answer
    x = 10,508.13

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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.