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Finding the Fourth Proportional to 6,072, 9,102.08 and 3,110.44

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Solution

The fourth proportional to 6,072, 9,102.08 and 3,110.44 is: 4,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072 : 9,102.08 = 3,110.44 : x
  2. Step 2: Convert to fraction form
    6,072/9,102.08 = 3,110.44/x
  3. Step 3: Cross multiply
    6,072x = 9,102.08 × 3,110.44
  4. Step 4: Simplify right side
    6,072x = 28,311,473.72
  5. Step 5: Solve for x
    x = 28,311,473.72/6,072
  6. Step 6: Final answer
    x = 4,662.63

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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.