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Finding the Fourth Proportional to 2,170.85, 3,254.31 and 709.07

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Solution

The fourth proportional to 2,170.85, 3,254.31 and 709.07 is: 1,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.85 : 3,254.31 = 709.07 : x
  2. Step 2: Convert to fraction form
    2,170.85/3,254.31 = 709.07/x
  3. Step 3: Cross multiply
    2,170.85x = 3,254.31 × 709.07
  4. Step 4: Simplify right side
    2,170.85x = 2,307,517.32
  5. Step 5: Solve for x
    x = 2,307,517.32/2,170.85
  6. Step 6: Final answer
    x = 1,062.96

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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.