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Finding the Fourth Proportional to 2,224.64, 3,069.92 and 1,229.92

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Solution

The fourth proportional to 2,224.64, 3,069.92 and 1,229.92 is: 1,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.64 : 3,069.92 = 1,229.92 : x
  2. Step 2: Convert to fraction form
    2,224.64/3,069.92 = 1,229.92/x
  3. Step 3: Cross multiply
    2,224.64x = 3,069.92 × 1,229.92
  4. Step 4: Simplify right side
    2,224.64x = 3,775,756.01
  5. Step 5: Solve for x
    x = 3,775,756.01/2,224.64
  6. Step 6: Final answer
    x = 1,697.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.