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Finding the Fourth Proportional to 8,106, 11,186.28 and 4,380

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Solution

The fourth proportional to 8,106, 11,186.28 and 4,380 is: 6,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106 : 11,186.28 = 4,380 : x
  2. Step 2: Convert to fraction form
    8,106/11,186.28 = 4,380/x
  3. Step 3: Cross multiply
    8,106x = 11,186.28 × 4,380
  4. Step 4: Simplify right side
    8,106x = 48,995,906.40
  5. Step 5: Solve for x
    x = 48,995,906.40/8,106
  6. Step 6: Final answer
    x = 6,044.40

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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.