Home / 2,126.13-3,189.80-827.97

Finding the Fourth Proportional to 2,126.13, 3,189.80 and 827.97

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Solution

The fourth proportional to 2,126.13, 3,189.80 and 827.97 is: 1,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.13 : 3,189.80 = 827.97 : x
  2. Step 2: Convert to fraction form
    2,126.13/3,189.80 = 827.97/x
  3. Step 3: Cross multiply
    2,126.13x = 3,189.80 × 827.97
  4. Step 4: Simplify right side
    2,126.13x = 2,641,058.71
  5. Step 5: Solve for x
    x = 2,641,058.71/2,126.13
  6. Step 6: Final answer
    x = 1,242.19

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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.