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Finding the Fourth Proportional to 3,617.50, 4,992.15 and 1,961.50

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Solution

The fourth proportional to 3,617.50, 4,992.15 and 1,961.50 is: 2,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.50 : 4,992.15 = 1,961.50 : x
  2. Step 2: Convert to fraction form
    3,617.50/4,992.15 = 1,961.50/x
  3. Step 3: Cross multiply
    3,617.50x = 4,992.15 × 1,961.50
  4. Step 4: Simplify right side
    3,617.50x = 9,792,102.23
  5. Step 5: Solve for x
    x = 9,792,102.23/3,617.50
  6. Step 6: Final answer
    x = 2,706.87

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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.