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Finding the Fourth Proportional to 7,154.58, 9,871.92 and 3,967.75

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Solution

The fourth proportional to 7,154.58, 9,871.92 and 3,967.75 is: 5,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.58 : 9,871.92 = 3,967.75 : x
  2. Step 2: Convert to fraction form
    7,154.58/9,871.92 = 3,967.75/x
  3. Step 3: Cross multiply
    7,154.58x = 9,871.92 × 3,967.75
  4. Step 4: Simplify right side
    7,154.58x = 39,169,285.90
  5. Step 5: Solve for x
    x = 39,169,285.90/7,154.58
  6. Step 6: Final answer
    x = 5,474.71

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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.