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Finding the Fourth Proportional to 3,488.76, 5,233.92 and 1,179.72

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Solution

The fourth proportional to 3,488.76, 5,233.92 and 1,179.72 is: 1,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.76 : 5,233.92 = 1,179.72 : x
  2. Step 2: Convert to fraction form
    3,488.76/5,233.92 = 1,179.72/x
  3. Step 3: Cross multiply
    3,488.76x = 5,233.92 × 1,179.72
  4. Step 4: Simplify right side
    3,488.76x = 6,174,560.10
  5. Step 5: Solve for x
    x = 6,174,560.10/3,488.76
  6. Step 6: Final answer
    x = 1,769.84

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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.