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Finding the Fourth Proportional to 7,871.87, 11,809.36 and 2,249.59

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Solution

The fourth proportional to 7,871.87, 11,809.36 and 2,249.59 is: 3,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.87 : 11,809.36 = 2,249.59 : x
  2. Step 2: Convert to fraction form
    7,871.87/11,809.36 = 2,249.59/x
  3. Step 3: Cross multiply
    7,871.87x = 11,809.36 × 2,249.59
  4. Step 4: Simplify right side
    7,871.87x = 26,566,156.65
  5. Step 5: Solve for x
    x = 26,566,156.65/7,871.87
  6. Step 6: Final answer
    x = 3,374.82

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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.