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Finding the Fourth Proportional to 3,100.26, 4,651.04 and 908.81

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Solution

The fourth proportional to 3,100.26, 4,651.04 and 908.81 is: 1,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.26 : 4,651.04 = 908.81 : x
  2. Step 2: Convert to fraction form
    3,100.26/4,651.04 = 908.81/x
  3. Step 3: Cross multiply
    3,100.26x = 4,651.04 × 908.81
  4. Step 4: Simplify right side
    3,100.26x = 4,226,911.66
  5. Step 5: Solve for x
    x = 4,226,911.66/3,100.26
  6. Step 6: Final answer
    x = 1,363.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.