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Finding the Fourth Proportional to 5,489.60, 8,231.52 and 2,408

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Solution

The fourth proportional to 5,489.60, 8,231.52 and 2,408 is: 3,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.60 : 8,231.52 = 2,408 : x
  2. Step 2: Convert to fraction form
    5,489.60/8,231.52 = 2,408/x
  3. Step 3: Cross multiply
    5,489.60x = 8,231.52 × 2,408
  4. Step 4: Simplify right side
    5,489.60x = 19,821,500.16
  5. Step 5: Solve for x
    x = 19,821,500.16/5,489.60
  6. Step 6: Final answer
    x = 3,610.74

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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.