Home / 1,382.29-2,072.40-834.35

Finding the Fourth Proportional to 1,382.29, 2,072.40 and 834.35

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Solution

The fourth proportional to 1,382.29, 2,072.40 and 834.35 is: 1,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.29 : 2,072.40 = 834.35 : x
  2. Step 2: Convert to fraction form
    1,382.29/2,072.40 = 834.35/x
  3. Step 3: Cross multiply
    1,382.29x = 2,072.40 × 834.35
  4. Step 4: Simplify right side
    1,382.29x = 1,729,100.21
  5. Step 5: Solve for x
    x = 1,729,100.21/1,382.29
  6. Step 6: Final answer
    x = 1,250.89

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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.