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Finding the Fourth Proportional to 1,934.14, 2,668.14 and 1,147.90

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Solution

The fourth proportional to 1,934.14, 2,668.14 and 1,147.90 is: 1,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.14 : 2,668.14 = 1,147.90 : x
  2. Step 2: Convert to fraction form
    1,934.14/2,668.14 = 1,147.90/x
  3. Step 3: Cross multiply
    1,934.14x = 2,668.14 × 1,147.90
  4. Step 4: Simplify right side
    1,934.14x = 3,062,757.91
  5. Step 5: Solve for x
    x = 3,062,757.91/1,934.14
  6. Step 6: Final answer
    x = 1,583.52

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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.