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Finding the Fourth Proportional to 13,342, 20,013.27 and 4,108

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Solution

The fourth proportional to 13,342, 20,013.27 and 4,108 is: 6,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342 : 20,013.27 = 4,108 : x
  2. Step 2: Convert to fraction form
    13,342/20,013.27 = 4,108/x
  3. Step 3: Cross multiply
    13,342x = 20,013.27 × 4,108
  4. Step 4: Simplify right side
    13,342x = 82,214,513.16
  5. Step 5: Solve for x
    x = 82,214,513.16/13,342
  6. Step 6: Final answer
    x = 6,162.08

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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.