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Finding the Fourth Proportional to 3,668.42, 5,062.48 and 1,989.88

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Solution

The fourth proportional to 3,668.42, 5,062.48 and 1,989.88 is: 2,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.42 : 5,062.48 = 1,989.88 : x
  2. Step 2: Convert to fraction form
    3,668.42/5,062.48 = 1,989.88/x
  3. Step 3: Cross multiply
    3,668.42x = 5,062.48 × 1,989.88
  4. Step 4: Simplify right side
    3,668.42x = 10,073,710.07
  5. Step 5: Solve for x
    x = 10,073,710.07/3,668.42
  6. Step 6: Final answer
    x = 2,746.07

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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.