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Finding the Fourth Proportional to 6,102.42, 8,421.22 and 3,449.78

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Solution

The fourth proportional to 6,102.42, 8,421.22 and 3,449.78 is: 4,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.42 : 8,421.22 = 3,449.78 : x
  2. Step 2: Convert to fraction form
    6,102.42/8,421.22 = 3,449.78/x
  3. Step 3: Cross multiply
    6,102.42x = 8,421.22 × 3,449.78
  4. Step 4: Simplify right side
    6,102.42x = 29,051,356.33
  5. Step 5: Solve for x
    x = 29,051,356.33/6,102.42
  6. Step 6: Final answer
    x = 4,760.63

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.