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Finding the Fourth Proportional to 2,881.92, 4,322.40 and 1,321.92

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Solution

The fourth proportional to 2,881.92, 4,322.40 and 1,321.92 is: 1,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.92 : 4,322.40 = 1,321.92 : x
  2. Step 2: Convert to fraction form
    2,881.92/4,322.40 = 1,321.92/x
  3. Step 3: Cross multiply
    2,881.92x = 4,322.40 × 1,321.92
  4. Step 4: Simplify right side
    2,881.92x = 5,713,867.01
  5. Step 5: Solve for x
    x = 5,713,867.01/2,881.92
  6. Step 6: Final answer
    x = 1,982.66

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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.