Home / 2,231.60-3,346.20-931.60

Finding the Fourth Proportional to 2,231.60, 3,346.20 and 931.60

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Solution

The fourth proportional to 2,231.60, 3,346.20 and 931.60 is: 1,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.60 : 3,346.20 = 931.60 : x
  2. Step 2: Convert to fraction form
    2,231.60/3,346.20 = 931.60/x
  3. Step 3: Cross multiply
    2,231.60x = 3,346.20 × 931.60
  4. Step 4: Simplify right side
    2,231.60x = 3,117,319.92
  5. Step 5: Solve for x
    x = 3,117,319.92/2,231.60
  6. Step 6: Final answer
    x = 1,396.90

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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.