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Finding the Fourth Proportional to 1,742.54, 2,404.91 and 996.39

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Solution

The fourth proportional to 1,742.54, 2,404.91 and 996.39 is: 1,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.54 : 2,404.91 = 996.39 : x
  2. Step 2: Convert to fraction form
    1,742.54/2,404.91 = 996.39/x
  3. Step 3: Cross multiply
    1,742.54x = 2,404.91 × 996.39
  4. Step 4: Simplify right side
    1,742.54x = 2,396,223.29
  5. Step 5: Solve for x
    x = 2,396,223.29/1,742.54
  6. Step 6: Final answer
    x = 1,375.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.