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Finding the Fourth Proportional to 10,778.22, 16,168.23 and 4,113

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Solution

The fourth proportional to 10,778.22, 16,168.23 and 4,113 is: 6,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.22 : 16,168.23 = 4,113 : x
  2. Step 2: Convert to fraction form
    10,778.22/16,168.23 = 4,113/x
  3. Step 3: Cross multiply
    10,778.22x = 16,168.23 × 4,113
  4. Step 4: Simplify right side
    10,778.22x = 66,499,929.99
  5. Step 5: Solve for x
    x = 66,499,929.99/10,778.22
  6. Step 6: Final answer
    x = 6,169.84

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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.