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Finding the Fourth Proportional to 7,871.33, 10,863.20 and 5,878.43

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Solution

The fourth proportional to 7,871.33, 10,863.20 and 5,878.43 is: 8,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.33 : 10,863.20 = 5,878.43 : x
  2. Step 2: Convert to fraction form
    7,871.33/10,863.20 = 5,878.43/x
  3. Step 3: Cross multiply
    7,871.33x = 10,863.20 × 5,878.43
  4. Step 4: Simplify right side
    7,871.33x = 63,858,560.78
  5. Step 5: Solve for x
    x = 63,858,560.78/7,871.33
  6. Step 6: Final answer
    x = 8,112.80

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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.