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Finding the Fourth Proportional to 13,356, 20,034.27 and 4,122

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Solution

The fourth proportional to 13,356, 20,034.27 and 4,122 is: 6,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356 : 20,034.27 = 4,122 : x
  2. Step 2: Convert to fraction form
    13,356/20,034.27 = 4,122/x
  3. Step 3: Cross multiply
    13,356x = 20,034.27 × 4,122
  4. Step 4: Simplify right side
    13,356x = 82,581,260.94
  5. Step 5: Solve for x
    x = 82,581,260.94/13,356
  6. Step 6: Final answer
    x = 6,183.08

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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.