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Finding the Fourth Proportional to 2,668.56, 3,682.65 and 1,489.74

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Solution

The fourth proportional to 2,668.56, 3,682.65 and 1,489.74 is: 2,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.56 : 3,682.65 = 1,489.74 : x
  2. Step 2: Convert to fraction form
    2,668.56/3,682.65 = 1,489.74/x
  3. Step 3: Cross multiply
    2,668.56x = 3,682.65 × 1,489.74
  4. Step 4: Simplify right side
    2,668.56x = 5,486,191.01
  5. Step 5: Solve for x
    x = 5,486,191.01/2,668.56
  6. Step 6: Final answer
    x = 2,055.86

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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.