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Finding the Fourth Proportional to 41,328, 61,992 and 13,628.16

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Solution

The fourth proportional to 41,328, 61,992 and 13,628.16 is: 20,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,328 : 61,992 = 13,628.16 : x
  2. Step 2: Convert to fraction form
    41,328/61,992 = 13,628.16/x
  3. Step 3: Cross multiply
    41,328x = 61,992 × 13,628.16
  4. Step 4: Simplify right side
    41,328x = 844,836,894.72
  5. Step 5: Solve for x
    x = 844,836,894.72/41,328
  6. Step 6: Final answer
    x = 20,442.24

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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.