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Finding the Fourth Proportional to 7,871.82, 11,789.52 and 4,744.93

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Solution

The fourth proportional to 7,871.82, 11,789.52 and 4,744.93 is: 7,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.82 : 11,789.52 = 4,744.93 : x
  2. Step 2: Convert to fraction form
    7,871.82/11,789.52 = 4,744.93/x
  3. Step 3: Cross multiply
    7,871.82x = 11,789.52 × 4,744.93
  4. Step 4: Simplify right side
    7,871.82x = 55,940,421.97
  5. Step 5: Solve for x
    x = 55,940,421.97/7,871.82
  6. Step 6: Final answer
    x = 7,106.42

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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.