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Finding the Fourth Proportional to 3,838.80, 5,758.08 and 1,241.64

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Solution

The fourth proportional to 3,838.80, 5,758.08 and 1,241.64 is: 1,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.80 : 5,758.08 = 1,241.64 : x
  2. Step 2: Convert to fraction form
    3,838.80/5,758.08 = 1,241.64/x
  3. Step 3: Cross multiply
    3,838.80x = 5,758.08 × 1,241.64
  4. Step 4: Simplify right side
    3,838.80x = 7,149,462.45
  5. Step 5: Solve for x
    x = 7,149,462.45/3,838.80
  6. Step 6: Final answer
    x = 1,862.42

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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.