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Finding the Fourth Proportional to 3,072.44, 4,609.10 and 991.96

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Solution

The fourth proportional to 3,072.44, 4,609.10 and 991.96 is: 1,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.44 : 4,609.10 = 991.96 : x
  2. Step 2: Convert to fraction form
    3,072.44/4,609.10 = 991.96/x
  3. Step 3: Cross multiply
    3,072.44x = 4,609.10 × 991.96
  4. Step 4: Simplify right side
    3,072.44x = 4,572,042.84
  5. Step 5: Solve for x
    x = 4,572,042.84/3,072.44
  6. Step 6: Final answer
    x = 1,488.08

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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.