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Finding the Fourth Proportional to 2,247.63, 3,366.78 and 1,899.75

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Solution

The fourth proportional to 2,247.63, 3,366.78 and 1,899.75 is: 2,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.63 : 3,366.78 = 1,899.75 : x
  2. Step 2: Convert to fraction form
    2,247.63/3,366.78 = 1,899.75/x
  3. Step 3: Cross multiply
    2,247.63x = 3,366.78 × 1,899.75
  4. Step 4: Simplify right side
    2,247.63x = 6,396,059.17
  5. Step 5: Solve for x
    x = 6,396,059.17/2,247.63
  6. Step 6: Final answer
    x = 2,845.69

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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.