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Finding the Fourth Proportional to 2,675.09, 4,012.38 and 825.71

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Solution

The fourth proportional to 2,675.09, 4,012.38 and 825.71 is: 1,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.09 : 4,012.38 = 825.71 : x
  2. Step 2: Convert to fraction form
    2,675.09/4,012.38 = 825.71/x
  3. Step 3: Cross multiply
    2,675.09x = 4,012.38 × 825.71
  4. Step 4: Simplify right side
    2,675.09x = 3,313,062.29
  5. Step 5: Solve for x
    x = 3,313,062.29/2,675.09
  6. Step 6: Final answer
    x = 1,238.49

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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.