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Finding the Fourth Proportional to 2,891.92, 4,335.36 and 1,431.76

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Solution

The fourth proportional to 2,891.92, 4,335.36 and 1,431.76 is: 2,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.92 : 4,335.36 = 1,431.76 : x
  2. Step 2: Convert to fraction form
    2,891.92/4,335.36 = 1,431.76/x
  3. Step 3: Cross multiply
    2,891.92x = 4,335.36 × 1,431.76
  4. Step 4: Simplify right side
    2,891.92x = 6,207,195.03
  5. Step 5: Solve for x
    x = 6,207,195.03/2,891.92
  6. Step 6: Final answer
    x = 2,146.39

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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.