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Finding the Fourth Proportional to 2,336.73, 3,224.73 and 1,288.77

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Solution

The fourth proportional to 2,336.73, 3,224.73 and 1,288.77 is: 1,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.73 : 3,224.73 = 1,288.77 : x
  2. Step 2: Convert to fraction form
    2,336.73/3,224.73 = 1,288.77/x
  3. Step 3: Cross multiply
    2,336.73x = 3,224.73 × 1,288.77
  4. Step 4: Simplify right side
    2,336.73x = 4,155,935.28
  5. Step 5: Solve for x
    x = 4,155,935.28/2,336.73
  6. Step 6: Final answer
    x = 1,778.53

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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.