Home / 3,014.42-4,521.58-823.14

Finding the Fourth Proportional to 3,014.42, 4,521.58 and 823.14

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Solution

The fourth proportional to 3,014.42, 4,521.58 and 823.14 is: 1,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.42 : 4,521.58 = 823.14 : x
  2. Step 2: Convert to fraction form
    3,014.42/4,521.58 = 823.14/x
  3. Step 3: Cross multiply
    3,014.42x = 4,521.58 × 823.14
  4. Step 4: Simplify right side
    3,014.42x = 3,721,891.30
  5. Step 5: Solve for x
    x = 3,721,891.30/3,014.42
  6. Step 6: Final answer
    x = 1,234.70

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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.