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Finding the Fourth Proportional to 7,661.42, 11,486.27 and 3,961.28

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Solution

The fourth proportional to 7,661.42, 11,486.27 and 3,961.28 is: 5,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.42 : 11,486.27 = 3,961.28 : x
  2. Step 2: Convert to fraction form
    7,661.42/11,486.27 = 3,961.28/x
  3. Step 3: Cross multiply
    7,661.42x = 11,486.27 × 3,961.28
  4. Step 4: Simplify right side
    7,661.42x = 45,500,331.63
  5. Step 5: Solve for x
    x = 45,500,331.63/7,661.42
  6. Step 6: Final answer
    x = 5,938.89

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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.