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Finding the Fourth Proportional to 6,781.78, 10,174.20 and 3,661.72

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Solution

The fourth proportional to 6,781.78, 10,174.20 and 3,661.72 is: 5,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.78 : 10,174.20 = 3,661.72 : x
  2. Step 2: Convert to fraction form
    6,781.78/10,174.20 = 3,661.72/x
  3. Step 3: Cross multiply
    6,781.78x = 10,174.20 × 3,661.72
  4. Step 4: Simplify right side
    6,781.78x = 37,255,071.62
  5. Step 5: Solve for x
    x = 37,255,071.62/6,781.78
  6. Step 6: Final answer
    x = 5,493.41

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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.