Home / 1,452.11-2,003.91-822.75

Finding the Fourth Proportional to 1,452.11, 2,003.91 and 822.75

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Solution

The fourth proportional to 1,452.11, 2,003.91 and 822.75 is: 1,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.11 : 2,003.91 = 822.75 : x
  2. Step 2: Convert to fraction form
    1,452.11/2,003.91 = 822.75/x
  3. Step 3: Cross multiply
    1,452.11x = 2,003.91 × 822.75
  4. Step 4: Simplify right side
    1,452.11x = 1,648,716.95
  5. Step 5: Solve for x
    x = 1,648,716.95/1,452.11
  6. Step 6: Final answer
    x = 1,135.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.