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Finding the Fourth Proportional to 12,033.88, 18,084.84 and 7,105.84

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Solution

The fourth proportional to 12,033.88, 18,084.84 and 7,105.84 is: 10,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.88 : 18,084.84 = 7,105.84 : x
  2. Step 2: Convert to fraction form
    12,033.88/18,084.84 = 7,105.84/x
  3. Step 3: Cross multiply
    12,033.88x = 18,084.84 × 7,105.84
  4. Step 4: Simplify right side
    12,033.88x = 128,507,979.47
  5. Step 5: Solve for x
    x = 128,507,979.47/12,033.88
  6. Step 6: Final answer
    x = 10,678.85

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1.5x scale

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.