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Finding the Fourth Proportional to 3,668.50, 5,062.49 and 1,989.91

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Solution

The fourth proportional to 3,668.50, 5,062.49 and 1,989.91 is: 2,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.50 : 5,062.49 = 1,989.91 : x
  2. Step 2: Convert to fraction form
    3,668.50/5,062.49 = 1,989.91/x
  3. Step 3: Cross multiply
    3,668.50x = 5,062.49 × 1,989.91
  4. Step 4: Simplify right side
    3,668.50x = 10,073,876.87
  5. Step 5: Solve for x
    x = 10,073,876.87/3,668.50
  6. Step 6: Final answer
    x = 2,746.05

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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.