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Finding the Fourth Proportional to 2,722.68, 4,083.17 and 873.32

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Solution

The fourth proportional to 2,722.68, 4,083.17 and 873.32 is: 1,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.68 : 4,083.17 = 873.32 : x
  2. Step 2: Convert to fraction form
    2,722.68/4,083.17 = 873.32/x
  3. Step 3: Cross multiply
    2,722.68x = 4,083.17 × 873.32
  4. Step 4: Simplify right side
    2,722.68x = 3,565,889.24
  5. Step 5: Solve for x
    x = 3,565,889.24/2,722.68
  6. Step 6: Final answer
    x = 1,309.70

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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.