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Finding the Fourth Proportional to 7,717.56, 10,650.26 and 4,180.78

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Solution

The fourth proportional to 7,717.56, 10,650.26 and 4,180.78 is: 5,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.56 : 10,650.26 = 4,180.78 : x
  2. Step 2: Convert to fraction form
    7,717.56/10,650.26 = 4,180.78/x
  3. Step 3: Cross multiply
    7,717.56x = 10,650.26 × 4,180.78
  4. Step 4: Simplify right side
    7,717.56x = 44,526,394.00
  5. Step 5: Solve for x
    x = 44,526,394.00/7,717.56
  6. Step 6: Final answer
    x = 5,769.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.