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Finding the Fourth Proportional to 3,898.88, 5,849.20 and 1,301.75

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Solution

The fourth proportional to 3,898.88, 5,849.20 and 1,301.75 is: 1,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.88 : 5,849.20 = 1,301.75 : x
  2. Step 2: Convert to fraction form
    3,898.88/5,849.20 = 1,301.75/x
  3. Step 3: Cross multiply
    3,898.88x = 5,849.20 × 1,301.75
  4. Step 4: Simplify right side
    3,898.88x = 7,614,196.10
  5. Step 5: Solve for x
    x = 7,614,196.10/3,898.88
  6. Step 6: Final answer
    x = 1,952.92

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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.