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Finding the Fourth Proportional to 1,493.70, 2,249.07 and 1,321.44

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Solution

The fourth proportional to 1,493.70, 2,249.07 and 1,321.44 is: 1,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.70 : 2,249.07 = 1,321.44 : x
  2. Step 2: Convert to fraction form
    1,493.70/2,249.07 = 1,321.44/x
  3. Step 3: Cross multiply
    1,493.70x = 2,249.07 × 1,321.44
  4. Step 4: Simplify right side
    1,493.70x = 2,972,011.06
  5. Step 5: Solve for x
    x = 2,972,011.06/1,493.70
  6. Step 6: Final answer
    x = 1,989.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.