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Finding the Fourth Proportional to 8,108.78, 11,184.39 and 7,837.82

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Solution

The fourth proportional to 8,108.78, 11,184.39 and 7,837.82 is: 10,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.78 : 11,184.39 = 7,837.82 : x
  2. Step 2: Convert to fraction form
    8,108.78/11,184.39 = 7,837.82/x
  3. Step 3: Cross multiply
    8,108.78x = 11,184.39 × 7,837.82
  4. Step 4: Simplify right side
    8,108.78x = 87,661,235.63
  5. Step 5: Solve for x
    x = 87,661,235.63/8,108.78
  6. Step 6: Final answer
    x = 10,810.66

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1.5x scale

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.