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Finding the Fourth Proportional to 3,494, 5,241.72 and 1,442

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Solution

The fourth proportional to 3,494, 5,241.72 and 1,442 is: 2,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494 : 5,241.72 = 1,442 : x
  2. Step 2: Convert to fraction form
    3,494/5,241.72 = 1,442/x
  3. Step 3: Cross multiply
    3,494x = 5,241.72 × 1,442
  4. Step 4: Simplify right side
    3,494x = 7,558,560.24
  5. Step 5: Solve for x
    x = 7,558,560.24/3,494
  6. Step 6: Final answer
    x = 2,163.30

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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.