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Finding the Fourth Proportional to 7,871.80, 10,869.44 and 5,359.20

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Solution

The fourth proportional to 7,871.80, 10,869.44 and 5,359.20 is: 7,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.80 : 10,869.44 = 5,359.20 : x
  2. Step 2: Convert to fraction form
    7,871.80/10,869.44 = 5,359.20/x
  3. Step 3: Cross multiply
    7,871.80x = 10,869.44 × 5,359.20
  4. Step 4: Simplify right side
    7,871.80x = 58,251,502.85
  5. Step 5: Solve for x
    x = 58,251,502.85/7,871.80
  6. Step 6: Final answer
    x = 7,400.02

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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.