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Finding the Fourth Proportional to 2,605.77, 3,908.70 and 1,144.62

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Solution

The fourth proportional to 2,605.77, 3,908.70 and 1,144.62 is: 1,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.77 : 3,908.70 = 1,144.62 : x
  2. Step 2: Convert to fraction form
    2,605.77/3,908.70 = 1,144.62/x
  3. Step 3: Cross multiply
    2,605.77x = 3,908.70 × 1,144.62
  4. Step 4: Simplify right side
    2,605.77x = 4,473,976.19
  5. Step 5: Solve for x
    x = 4,473,976.19/2,605.77
  6. Step 6: Final answer
    x = 1,716.95

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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.