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Finding the Fourth Proportional to 2,091.37, 3,134.68 and 857.20

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Solution

The fourth proportional to 2,091.37, 3,134.68 and 857.20 is: 1,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.37 : 3,134.68 = 857.20 : x
  2. Step 2: Convert to fraction form
    2,091.37/3,134.68 = 857.20/x
  3. Step 3: Cross multiply
    2,091.37x = 3,134.68 × 857.20
  4. Step 4: Simplify right side
    2,091.37x = 2,687,047.70
  5. Step 5: Solve for x
    x = 2,687,047.70/2,091.37
  6. Step 6: Final answer
    x = 1,284.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.