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Finding the Fourth Proportional to 10,794.16, 16,188 and 4,218.76

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Solution

The fourth proportional to 10,794.16, 16,188 and 4,218.76 is: 6,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.16 : 16,188 = 4,218.76 : x
  2. Step 2: Convert to fraction form
    10,794.16/16,188 = 4,218.76/x
  3. Step 3: Cross multiply
    10,794.16x = 16,188 × 4,218.76
  4. Step 4: Simplify right side
    10,794.16x = 68,293,286.88
  5. Step 5: Solve for x
    x = 68,293,286.88/10,794.16
  6. Step 6: Final answer
    x = 6,326.87

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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.