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Finding the Fourth Proportional to 7,871.93, 10,873.61 and 5,879.03

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Solution

The fourth proportional to 7,871.93, 10,873.61 and 5,879.03 is: 8,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.93 : 10,873.61 = 5,879.03 : x
  2. Step 2: Convert to fraction form
    7,871.93/10,873.61 = 5,879.03/x
  3. Step 3: Cross multiply
    7,871.93x = 10,873.61 × 5,879.03
  4. Step 4: Simplify right side
    7,871.93x = 63,926,195.64
  5. Step 5: Solve for x
    x = 63,926,195.64/7,871.93
  6. Step 6: Final answer
    x = 8,120.78

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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.