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Finding the Fourth Proportional to 9,177.77, 13,763.75 and 3,912.75

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Solution

The fourth proportional to 9,177.77, 13,763.75 and 3,912.75 is: 5,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.77 : 13,763.75 = 3,912.75 : x
  2. Step 2: Convert to fraction form
    9,177.77/13,763.75 = 3,912.75/x
  3. Step 3: Cross multiply
    9,177.77x = 13,763.75 × 3,912.75
  4. Step 4: Simplify right side
    9,177.77x = 53,854,093.25
  5. Step 5: Solve for x
    x = 53,854,093.25/9,177.77
  6. Step 6: Final answer
    x = 5,867.89

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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.