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Finding the Fourth Proportional to 8,108.82, 12,083.73 and 7,844.55

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Solution

The fourth proportional to 8,108.82, 12,083.73 and 7,844.55 is: 11,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.82 : 12,083.73 = 7,844.55 : x
  2. Step 2: Convert to fraction form
    8,108.82/12,083.73 = 7,844.55/x
  3. Step 3: Cross multiply
    8,108.82x = 12,083.73 × 7,844.55
  4. Step 4: Simplify right side
    8,108.82x = 94,791,424.17
  5. Step 5: Solve for x
    x = 94,791,424.17/8,108.82
  6. Step 6: Final answer
    x = 11,689.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.