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Finding the Fourth Proportional to 3,619.00, 5,429.22 and 1,538.99

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Solution

The fourth proportional to 3,619.00, 5,429.22 and 1,538.99 is: 2,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.00 : 5,429.22 = 1,538.99 : x
  2. Step 2: Convert to fraction form
    3,619.00/5,429.22 = 1,538.99/x
  3. Step 3: Cross multiply
    3,619.00x = 5,429.22 × 1,538.99
  4. Step 4: Simplify right side
    3,619.00x = 8,355,480.45
  5. Step 5: Solve for x
    x = 8,355,480.45/3,619.00
  6. Step 6: Final answer
    x = 2,308.78

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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.