Home / 2,209.20-3,315.10-823.52

Finding the Fourth Proportional to 2,209.20, 3,315.10 and 823.52

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Solution

The fourth proportional to 2,209.20, 3,315.10 and 823.52 is: 1,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.20 : 3,315.10 = 823.52 : x
  2. Step 2: Convert to fraction form
    2,209.20/3,315.10 = 823.52/x
  3. Step 3: Cross multiply
    2,209.20x = 3,315.10 × 823.52
  4. Step 4: Simplify right side
    2,209.20x = 2,730,051.15
  5. Step 5: Solve for x
    x = 2,730,051.15/2,209.20
  6. Step 6: Final answer
    x = 1,235.76

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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.