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Finding the Fourth Proportional to 11,143.50, 16,716.06 and 4,218

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Solution

The fourth proportional to 11,143.50, 16,716.06 and 4,218 is: 6,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.50 : 16,716.06 = 4,218 : x
  2. Step 2: Convert to fraction form
    11,143.50/16,716.06 = 4,218/x
  3. Step 3: Cross multiply
    11,143.50x = 16,716.06 × 4,218
  4. Step 4: Simplify right side
    11,143.50x = 70,508,341.08
  5. Step 5: Solve for x
    x = 70,508,341.08/11,143.50
  6. Step 6: Final answer
    x = 6,327.31

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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.