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Finding the Fourth Proportional to 1,722.71, 2,375.75 and 1,132.22

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Solution

The fourth proportional to 1,722.71, 2,375.75 and 1,132.22 is: 1,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.71 : 2,375.75 = 1,132.22 : x
  2. Step 2: Convert to fraction form
    1,722.71/2,375.75 = 1,132.22/x
  3. Step 3: Cross multiply
    1,722.71x = 2,375.75 × 1,132.22
  4. Step 4: Simplify right side
    1,722.71x = 2,689,880.43
  5. Step 5: Solve for x
    x = 2,689,880.43/1,722.71
  6. Step 6: Final answer
    x = 1,561.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.