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Finding the Fourth Proportional to 9,100.14, 13,642.83 and 3,550.62

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Solution

The fourth proportional to 9,100.14, 13,642.83 and 3,550.62 is: 5,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.14 : 13,642.83 = 3,550.62 : x
  2. Step 2: Convert to fraction form
    9,100.14/13,642.83 = 3,550.62/x
  3. Step 3: Cross multiply
    9,100.14x = 13,642.83 × 3,550.62
  4. Step 4: Simplify right side
    9,100.14x = 48,440,505.05
  5. Step 5: Solve for x
    x = 48,440,505.05/9,100.14
  6. Step 6: Final answer
    x = 5,323.05

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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.