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Finding the Fourth Proportional to 7,989.92, 11,988.96 and 6,054

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Solution

The fourth proportional to 7,989.92, 11,988.96 and 6,054 is: 9,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.92 : 11,988.96 = 6,054 : x
  2. Step 2: Convert to fraction form
    7,989.92/11,988.96 = 6,054/x
  3. Step 3: Cross multiply
    7,989.92x = 11,988.96 × 6,054
  4. Step 4: Simplify right side
    7,989.92x = 72,581,163.84
  5. Step 5: Solve for x
    x = 72,581,163.84/7,989.92
  6. Step 6: Final answer
    x = 9,084.09

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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.