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Finding the Fourth Proportional to 6,000.96, 8,984.88 and 3,072.96

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Solution

The fourth proportional to 6,000.96, 8,984.88 and 3,072.96 is: 4,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.96 : 8,984.88 = 3,072.96 : x
  2. Step 2: Convert to fraction form
    6,000.96/8,984.88 = 3,072.96/x
  3. Step 3: Cross multiply
    6,000.96x = 8,984.88 × 3,072.96
  4. Step 4: Simplify right side
    6,000.96x = 27,610,176.84
  5. Step 5: Solve for x
    x = 27,610,176.84/6,000.96
  6. Step 6: Final answer
    x = 4,600.96

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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.