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Finding the Fourth Proportional to 11,163, 15,404.98 and 6,195

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Solution

The fourth proportional to 11,163, 15,404.98 and 6,195 is: 8,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163 : 15,404.98 = 6,195 : x
  2. Step 2: Convert to fraction form
    11,163/15,404.98 = 6,195/x
  3. Step 3: Cross multiply
    11,163x = 15,404.98 × 6,195
  4. Step 4: Simplify right side
    11,163x = 95,433,851.10
  5. Step 5: Solve for x
    x = 95,433,851.10/11,163
  6. Step 6: Final answer
    x = 8,549.12

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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.