Home / 3,014.25-4,521.68-823.13

Finding the Fourth Proportional to 3,014.25, 4,521.68 and 823.13

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Solution

The fourth proportional to 3,014.25, 4,521.68 and 823.13 is: 1,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.25 : 4,521.68 = 823.13 : x
  2. Step 2: Convert to fraction form
    3,014.25/4,521.68 = 823.13/x
  3. Step 3: Cross multiply
    3,014.25x = 4,521.68 × 823.13
  4. Step 4: Simplify right side
    3,014.25x = 3,721,930.46
  5. Step 5: Solve for x
    x = 3,721,930.46/3,014.25
  6. Step 6: Final answer
    x = 1,234.78

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1.5x scale

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.