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Finding the Fourth Proportional to 2,305.88, 3,182.12 and 1,257.92

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Solution

The fourth proportional to 2,305.88, 3,182.12 and 1,257.92 is: 1,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.88 : 3,182.12 = 1,257.92 : x
  2. Step 2: Convert to fraction form
    2,305.88/3,182.12 = 1,257.92/x
  3. Step 3: Cross multiply
    2,305.88x = 3,182.12 × 1,257.92
  4. Step 4: Simplify right side
    2,305.88x = 4,002,852.39
  5. Step 5: Solve for x
    x = 4,002,852.39/2,305.88
  6. Step 6: Final answer
    x = 1,735.93

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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.