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Finding the Fourth Proportional to 3,605.89, 4,976.13 and 1,949.89

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Solution

The fourth proportional to 3,605.89, 4,976.13 and 1,949.89 is: 2,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.89 : 4,976.13 = 1,949.89 : x
  2. Step 2: Convert to fraction form
    3,605.89/4,976.13 = 1,949.89/x
  3. Step 3: Cross multiply
    3,605.89x = 4,976.13 × 1,949.89
  4. Step 4: Simplify right side
    3,605.89x = 9,702,906.13
  5. Step 5: Solve for x
    x = 9,702,906.13/3,605.89
  6. Step 6: Final answer
    x = 2,690.85

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1.5x scale

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.