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Finding the Fourth Proportional to 6,737.09, 10,102.19 and 3,619.72

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Solution

The fourth proportional to 6,737.09, 10,102.19 and 3,619.72 is: 5,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.09 : 10,102.19 = 3,619.72 : x
  2. Step 2: Convert to fraction form
    6,737.09/10,102.19 = 3,619.72/x
  3. Step 3: Cross multiply
    6,737.09x = 10,102.19 × 3,619.72
  4. Step 4: Simplify right side
    6,737.09x = 36,567,093.72
  5. Step 5: Solve for x
    x = 36,567,093.72/6,737.09
  6. Step 6: Final answer
    x = 5,427.73

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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.