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Finding the Fourth Proportional to 2,689.74, 4,034.25 and 741.60

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Solution

The fourth proportional to 2,689.74, 4,034.25 and 741.60 is: 1,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.74 : 4,034.25 = 741.60 : x
  2. Step 2: Convert to fraction form
    2,689.74/4,034.25 = 741.60/x
  3. Step 3: Cross multiply
    2,689.74x = 4,034.25 × 741.60
  4. Step 4: Simplify right side
    2,689.74x = 2,991,799.80
  5. Step 5: Solve for x
    x = 2,991,799.80/2,689.74
  6. Step 6: Final answer
    x = 1,112.30

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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.