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Finding the Fourth Proportional to 3,883.88, 5,828.45 and 1,691.34

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Solution

The fourth proportional to 3,883.88, 5,828.45 and 1,691.34 is: 2,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.88 : 5,828.45 = 1,691.34 : x
  2. Step 2: Convert to fraction form
    3,883.88/5,828.45 = 1,691.34/x
  3. Step 3: Cross multiply
    3,883.88x = 5,828.45 × 1,691.34
  4. Step 4: Simplify right side
    3,883.88x = 9,857,882.17
  5. Step 5: Solve for x
    x = 9,857,882.17/3,883.88
  6. Step 6: Final answer
    x = 2,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.