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Finding the Fourth Proportional to 2,180, 3,008.40 and 1,249.12

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Solution

The fourth proportional to 2,180, 3,008.40 and 1,249.12 is: 1,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180 : 3,008.40 = 1,249.12 : x
  2. Step 2: Convert to fraction form
    2,180/3,008.40 = 1,249.12/x
  3. Step 3: Cross multiply
    2,180x = 3,008.40 × 1,249.12
  4. Step 4: Simplify right side
    2,180x = 3,757,852.61
  5. Step 5: Solve for x
    x = 3,757,852.61/2,180
  6. Step 6: Final answer
    x = 1,723.79

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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.