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Finding the Fourth Proportional to 2,224.86, 3,069.63 and 1,293.18

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Solution

The fourth proportional to 2,224.86, 3,069.63 and 1,293.18 is: 1,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.86 : 3,069.63 = 1,293.18 : x
  2. Step 2: Convert to fraction form
    2,224.86/3,069.63 = 1,293.18/x
  3. Step 3: Cross multiply
    2,224.86x = 3,069.63 × 1,293.18
  4. Step 4: Simplify right side
    2,224.86x = 3,969,584.12
  5. Step 5: Solve for x
    x = 3,969,584.12/2,224.86
  6. Step 6: Final answer
    x = 1,784.20

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