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Finding the Fourth Proportional to 2,170.46, 3,255.87 and 709.58

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Solution

The fourth proportional to 2,170.46, 3,255.87 and 709.58 is: 1,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.46 : 3,255.87 = 709.58 : x
  2. Step 2: Convert to fraction form
    2,170.46/3,255.87 = 709.58/x
  3. Step 3: Cross multiply
    2,170.46x = 3,255.87 × 709.58
  4. Step 4: Simplify right side
    2,170.46x = 2,310,300.23
  5. Step 5: Solve for x
    x = 2,310,300.23/2,170.46
  6. Step 6: Final answer
    x = 1,064.43

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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.