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Finding the Fourth Proportional to 11,145, 15,380.10 and 6,177

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Solution

The fourth proportional to 11,145, 15,380.10 and 6,177 is: 8,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145 : 15,380.10 = 6,177 : x
  2. Step 2: Convert to fraction form
    11,145/15,380.10 = 6,177/x
  3. Step 3: Cross multiply
    11,145x = 15,380.10 × 6,177
  4. Step 4: Simplify right side
    11,145x = 95,002,877.70
  5. Step 5: Solve for x
    x = 95,002,877.70/11,145
  6. Step 6: Final answer
    x = 8,524.26

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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.