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Finding the Fourth Proportional to 3,459.68, 5,189.50 and 1,351.52

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Solution

The fourth proportional to 3,459.68, 5,189.50 and 1,351.52 is: 2,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.68 : 5,189.50 = 1,351.52 : x
  2. Step 2: Convert to fraction form
    3,459.68/5,189.50 = 1,351.52/x
  3. Step 3: Cross multiply
    3,459.68x = 5,189.50 × 1,351.52
  4. Step 4: Simplify right side
    3,459.68x = 7,013,713.04
  5. Step 5: Solve for x
    x = 7,013,713.04/3,459.68
  6. Step 6: Final answer
    x = 2,027.27

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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.