Home / 1,471.20-2,205.26-922.12

Finding the Fourth Proportional to 1,471.20, 2,205.26 and 922.12

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Solution

The fourth proportional to 1,471.20, 2,205.26 and 922.12 is: 1,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.20 : 2,205.26 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,471.20/2,205.26 = 922.12/x
  3. Step 3: Cross multiply
    1,471.20x = 2,205.26 × 922.12
  4. Step 4: Simplify right side
    1,471.20x = 2,033,514.35
  5. Step 5: Solve for x
    x = 2,033,514.35/1,471.20
  6. Step 6: Final answer
    x = 1,382.21

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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.