Home / 1,651.38-2,473.82-827.22

Finding the Fourth Proportional to 1,651.38, 2,473.82 and 827.22

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Solution

The fourth proportional to 1,651.38, 2,473.82 and 827.22 is: 1,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.38 : 2,473.82 = 827.22 : x
  2. Step 2: Convert to fraction form
    1,651.38/2,473.82 = 827.22/x
  3. Step 3: Cross multiply
    1,651.38x = 2,473.82 × 827.22
  4. Step 4: Simplify right side
    1,651.38x = 2,046,393.38
  5. Step 5: Solve for x
    x = 2,046,393.38/1,651.38
  6. Step 6: Final answer
    x = 1,239.20

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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.