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Finding the Fourth Proportional to 2,170.13, 3,255.80 and 1,074.20

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Solution

The fourth proportional to 2,170.13, 3,255.80 and 1,074.20 is: 1,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.13 : 3,255.80 = 1,074.20 : x
  2. Step 2: Convert to fraction form
    2,170.13/3,255.80 = 1,074.20/x
  3. Step 3: Cross multiply
    2,170.13x = 3,255.80 × 1,074.20
  4. Step 4: Simplify right side
    2,170.13x = 3,497,358.71
  5. Step 5: Solve for x
    x = 3,497,358.71/2,170.13
  6. Step 6: Final answer
    x = 1,611.59

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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.