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Finding the Fourth Proportional to 2,891.72, 4,339.82 and 1,965

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Solution

The fourth proportional to 2,891.72, 4,339.82 and 1,965 is: 2,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.72 : 4,339.82 = 1,965 : x
  2. Step 2: Convert to fraction form
    2,891.72/4,339.82 = 1,965/x
  3. Step 3: Cross multiply
    2,891.72x = 4,339.82 × 1,965
  4. Step 4: Simplify right side
    2,891.72x = 8,527,746.30
  5. Step 5: Solve for x
    x = 8,527,746.30/2,891.72
  6. Step 6: Final answer
    x = 2,949.02

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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.