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Finding the Fourth Proportional to 8,018.84, 12,033.12 and 3,091.88

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Solution

The fourth proportional to 8,018.84, 12,033.12 and 3,091.88 is: 4,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.84 : 12,033.12 = 3,091.88 : x
  2. Step 2: Convert to fraction form
    8,018.84/12,033.12 = 3,091.88/x
  3. Step 3: Cross multiply
    8,018.84x = 12,033.12 × 3,091.88
  4. Step 4: Simplify right side
    8,018.84x = 37,204,963.07
  5. Step 5: Solve for x
    x = 37,204,963.07/8,018.84
  6. Step 6: Final answer
    x = 4,639.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.