Home / 3,014.96-4,521.83-823.16

Finding the Fourth Proportional to 3,014.96, 4,521.83 and 823.16

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Solution

The fourth proportional to 3,014.96, 4,521.83 and 823.16 is: 1,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.96 : 4,521.83 = 823.16 : x
  2. Step 2: Convert to fraction form
    3,014.96/4,521.83 = 823.16/x
  3. Step 3: Cross multiply
    3,014.96x = 4,521.83 × 823.16
  4. Step 4: Simplify right side
    3,014.96x = 3,722,162.86
  5. Step 5: Solve for x
    x = 3,722,162.86/3,014.96
  6. Step 6: Final answer
    x = 1,234.57

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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.