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Finding the Fourth Proportional to 6,375.38, 9,564.14 and 1,991.96

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Solution

The fourth proportional to 6,375.38, 9,564.14 and 1,991.96 is: 2,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.38 : 9,564.14 = 1,991.96 : x
  2. Step 2: Convert to fraction form
    6,375.38/9,564.14 = 1,991.96/x
  3. Step 3: Cross multiply
    6,375.38x = 9,564.14 × 1,991.96
  4. Step 4: Simplify right side
    6,375.38x = 19,051,377.34
  5. Step 5: Solve for x
    x = 19,051,377.34/6,375.38
  6. Step 6: Final answer
    x = 2,988.28

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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.