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Finding the Fourth Proportional to 11,210, 16,818.68 and 3,418.84

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Solution

The fourth proportional to 11,210, 16,818.68 and 3,418.84 is: 5,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210 : 16,818.68 = 3,418.84 : x
  2. Step 2: Convert to fraction form
    11,210/16,818.68 = 3,418.84/x
  3. Step 3: Cross multiply
    11,210x = 16,818.68 × 3,418.84
  4. Step 4: Simplify right side
    11,210x = 57,500,375.93
  5. Step 5: Solve for x
    x = 57,500,375.93/11,210
  6. Step 6: Final answer
    x = 5,129.38

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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.