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Finding the Fourth Proportional to 6,745.76, 10,118.80 and 1,815.84

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Solution

The fourth proportional to 6,745.76, 10,118.80 and 1,815.84 is: 2,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.76 : 10,118.80 = 1,815.84 : x
  2. Step 2: Convert to fraction form
    6,745.76/10,118.80 = 1,815.84/x
  3. Step 3: Cross multiply
    6,745.76x = 10,118.80 × 1,815.84
  4. Step 4: Simplify right side
    6,745.76x = 18,374,121.79
  5. Step 5: Solve for x
    x = 18,374,121.79/6,745.76
  6. Step 6: Final answer
    x = 2,723.80

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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.