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Finding the Fourth Proportional to 2,782.46, 4,172.88 and 834.14

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Solution

The fourth proportional to 2,782.46, 4,172.88 and 834.14 is: 1,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.46 : 4,172.88 = 834.14 : x
  2. Step 2: Convert to fraction form
    2,782.46/4,172.88 = 834.14/x
  3. Step 3: Cross multiply
    2,782.46x = 4,172.88 × 834.14
  4. Step 4: Simplify right side
    2,782.46x = 3,480,766.12
  5. Step 5: Solve for x
    x = 3,480,766.12/2,782.46
  6. Step 6: Final answer
    x = 1,250.97

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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.