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Finding the Fourth Proportional to 2,169.46, 3,253.85 and 708.29

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Solution

The fourth proportional to 2,169.46, 3,253.85 and 708.29 is: 1,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.46 : 3,253.85 = 708.29 : x
  2. Step 2: Convert to fraction form
    2,169.46/3,253.85 = 708.29/x
  3. Step 3: Cross multiply
    2,169.46x = 3,253.85 × 708.29
  4. Step 4: Simplify right side
    2,169.46x = 2,304,669.42
  5. Step 5: Solve for x
    x = 2,304,669.42/2,169.46
  6. Step 6: Final answer
    x = 1,062.32

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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.