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Finding the Fourth Proportional to 3,397, 4,688.67 and 2,000.56

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Solution

The fourth proportional to 3,397, 4,688.67 and 2,000.56 is: 2,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397 : 4,688.67 = 2,000.56 : x
  2. Step 2: Convert to fraction form
    3,397/4,688.67 = 2,000.56/x
  3. Step 3: Cross multiply
    3,397x = 4,688.67 × 2,000.56
  4. Step 4: Simplify right side
    3,397x = 9,379,965.66
  5. Step 5: Solve for x
    x = 9,379,965.66/3,397
  6. Step 6: Final answer
    x = 2,761.25

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Why These Related Problems?

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