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Finding the Fourth Proportional to 17,328, 23,913.12 and 9,876

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Solution

The fourth proportional to 17,328, 23,913.12 and 9,876 is: 13,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328 : 23,913.12 = 9,876 : x
  2. Step 2: Convert to fraction form
    17,328/23,913.12 = 9,876/x
  3. Step 3: Cross multiply
    17,328x = 23,913.12 × 9,876
  4. Step 4: Simplify right side
    17,328x = 236,165,973.12
  5. Step 5: Solve for x
    x = 236,165,973.12/17,328
  6. Step 6: Final answer
    x = 13,629.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.