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Finding the Fourth Proportional to 2,911.92, 4,367.97 and 964.13

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Solution

The fourth proportional to 2,911.92, 4,367.97 and 964.13 is: 1,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.92 : 4,367.97 = 964.13 : x
  2. Step 2: Convert to fraction form
    2,911.92/4,367.97 = 964.13/x
  3. Step 3: Cross multiply
    2,911.92x = 4,367.97 × 964.13
  4. Step 4: Simplify right side
    2,911.92x = 4,211,269.08
  5. Step 5: Solve for x
    x = 4,211,269.08/2,911.92
  6. Step 6: Final answer
    x = 1,446.22

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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.