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Finding the Fourth Proportional to 2,668.54, 3,682.56 and 1,489.81

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Solution

The fourth proportional to 2,668.54, 3,682.56 and 1,489.81 is: 2,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.54 : 3,682.56 = 1,489.81 : x
  2. Step 2: Convert to fraction form
    2,668.54/3,682.56 = 1,489.81/x
  3. Step 3: Cross multiply
    2,668.54x = 3,682.56 × 1,489.81
  4. Step 4: Simplify right side
    2,668.54x = 5,486,314.71
  5. Step 5: Solve for x
    x = 5,486,314.71/2,668.54
  6. Step 6: Final answer
    x = 2,055.92

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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.