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Finding the Fourth Proportional to 8,811.76, 13,218.10 and 2,238

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Solution

The fourth proportional to 8,811.76, 13,218.10 and 2,238 is: 3,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.76 : 13,218.10 = 2,238 : x
  2. Step 2: Convert to fraction form
    8,811.76/13,218.10 = 2,238/x
  3. Step 3: Cross multiply
    8,811.76x = 13,218.10 × 2,238
  4. Step 4: Simplify right side
    8,811.76x = 29,582,107.80
  5. Step 5: Solve for x
    x = 29,582,107.80/8,811.76
  6. Step 6: Final answer
    x = 3,357.12

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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.