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Finding the Fourth Proportional to 3,489.42, 5,232.12 and 1,410.42

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Solution

The fourth proportional to 3,489.42, 5,232.12 and 1,410.42 is: 2,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.42 : 5,232.12 = 1,410.42 : x
  2. Step 2: Convert to fraction form
    3,489.42/5,232.12 = 1,410.42/x
  3. Step 3: Cross multiply
    3,489.42x = 5,232.12 × 1,410.42
  4. Step 4: Simplify right side
    3,489.42x = 7,379,486.69
  5. Step 5: Solve for x
    x = 7,379,486.69/3,489.42
  6. Step 6: Final answer
    x = 2,114.82

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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.