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Finding the Fourth Proportional to 6,296.55, 9,452.10 and 3,380.55

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Solution

The fourth proportional to 6,296.55, 9,452.10 and 3,380.55 is: 5,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.55 : 9,452.10 = 3,380.55 : x
  2. Step 2: Convert to fraction form
    6,296.55/9,452.10 = 3,380.55/x
  3. Step 3: Cross multiply
    6,296.55x = 9,452.10 × 3,380.55
  4. Step 4: Simplify right side
    6,296.55x = 31,953,296.66
  5. Step 5: Solve for x
    x = 31,953,296.66/6,296.55
  6. Step 6: Final answer
    x = 5,074.73

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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.