Home / 5,198.32-7,788.68-3,142

Finding the Fourth Proportional to 5,198.32, 7,788.68 and 3,142

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Solution

The fourth proportional to 5,198.32, 7,788.68 and 3,142 is: 4,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.32 : 7,788.68 = 3,142 : x
  2. Step 2: Convert to fraction form
    5,198.32/7,788.68 = 3,142/x
  3. Step 3: Cross multiply
    5,198.32x = 7,788.68 × 3,142
  4. Step 4: Simplify right side
    5,198.32x = 24,472,032.56
  5. Step 5: Solve for x
    x = 24,472,032.56/5,198.32
  6. Step 6: Final answer
    x = 4,707.68

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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.