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Finding the Fourth Proportional to 2,155.68, 3,234.42 and 857.34

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Solution

The fourth proportional to 2,155.68, 3,234.42 and 857.34 is: 1,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.68 : 3,234.42 = 857.34 : x
  2. Step 2: Convert to fraction form
    2,155.68/3,234.42 = 857.34/x
  3. Step 3: Cross multiply
    2,155.68x = 3,234.42 × 857.34
  4. Step 4: Simplify right side
    2,155.68x = 2,772,997.64
  5. Step 5: Solve for x
    x = 2,772,997.64/2,155.68
  6. Step 6: Final answer
    x = 1,286.37

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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.