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Finding the Fourth Proportional to 6,737, 10,105.86 and 2,120.36

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Solution

The fourth proportional to 6,737, 10,105.86 and 2,120.36 is: 3,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737 : 10,105.86 = 2,120.36 : x
  2. Step 2: Convert to fraction form
    6,737/10,105.86 = 2,120.36/x
  3. Step 3: Cross multiply
    6,737x = 10,105.86 × 2,120.36
  4. Step 4: Simplify right side
    6,737x = 21,428,061.31
  5. Step 5: Solve for x
    x = 21,428,061.31/6,737
  6. Step 6: Final answer
    x = 3,180.65

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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.