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Finding the Fourth Proportional to 7,673, 11,510.56 and 2,741.60

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Solution

The fourth proportional to 7,673, 11,510.56 and 2,741.60 is: 4,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673 : 11,510.56 = 2,741.60 : x
  2. Step 2: Convert to fraction form
    7,673/11,510.56 = 2,741.60/x
  3. Step 3: Cross multiply
    7,673x = 11,510.56 × 2,741.60
  4. Step 4: Simplify right side
    7,673x = 31,557,351.30
  5. Step 5: Solve for x
    x = 31,557,351.30/7,673
  6. Step 6: Final answer
    x = 4,112.78

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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.