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Finding the Fourth Proportional to 10,778.70, 16,168.05 and 3,851.82

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Solution

The fourth proportional to 10,778.70, 16,168.05 and 3,851.82 is: 5,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.70 : 16,168.05 = 3,851.82 : x
  2. Step 2: Convert to fraction form
    10,778.70/16,168.05 = 3,851.82/x
  3. Step 3: Cross multiply
    10,778.70x = 16,168.05 × 3,851.82
  4. Step 4: Simplify right side
    10,778.70x = 62,276,418.35
  5. Step 5: Solve for x
    x = 62,276,418.35/10,778.70
  6. Step 6: Final answer
    x = 5,777.73

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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.