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Finding the Fourth Proportional to 7,991.28, 11,961 and 7,127.28

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Solution

The fourth proportional to 7,991.28, 11,961 and 7,127.28 is: 10,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.28 : 11,961 = 7,127.28 : x
  2. Step 2: Convert to fraction form
    7,991.28/11,961 = 7,127.28/x
  3. Step 3: Cross multiply
    7,991.28x = 11,961 × 7,127.28
  4. Step 4: Simplify right side
    7,991.28x = 85,249,396.08
  5. Step 5: Solve for x
    x = 85,249,396.08/7,991.28
  6. Step 6: Final answer
    x = 10,667.80

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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.