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Finding the Fourth Proportional to 1,920.75, 2,651.03 and 1,249.39

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Solution

The fourth proportional to 1,920.75, 2,651.03 and 1,249.39 is: 1,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.75 : 2,651.03 = 1,249.39 : x
  2. Step 2: Convert to fraction form
    1,920.75/2,651.03 = 1,249.39/x
  3. Step 3: Cross multiply
    1,920.75x = 2,651.03 × 1,249.39
  4. Step 4: Simplify right side
    1,920.75x = 3,312,170.37
  5. Step 5: Solve for x
    x = 3,312,170.37/1,920.75
  6. Step 6: Final answer
    x = 1,724.42

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Half scale
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Double scale
Find fourth proportional to 1,921.75, 2,652.41 and 1,250.39
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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.