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Finding the Fourth Proportional to 9,187.75, 13,770.87 and 3,921.27

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Solution

The fourth proportional to 9,187.75, 13,770.87 and 3,921.27 is: 5,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.75 : 13,770.87 = 3,921.27 : x
  2. Step 2: Convert to fraction form
    9,187.75/13,770.87 = 3,921.27/x
  3. Step 3: Cross multiply
    9,187.75x = 13,770.87 × 3,921.27
  4. Step 4: Simplify right side
    9,187.75x = 53,999,299.40
  5. Step 5: Solve for x
    x = 53,999,299.40/9,187.75
  6. Step 6: Final answer
    x = 5,877.31

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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.