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Finding the Fourth Proportional to 1,393.77, 2,078.49 and 1,221.24

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Solution

The fourth proportional to 1,393.77, 2,078.49 and 1,221.24 is: 1,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.77 : 2,078.49 = 1,221.24 : x
  2. Step 2: Convert to fraction form
    1,393.77/2,078.49 = 1,221.24/x
  3. Step 3: Cross multiply
    1,393.77x = 2,078.49 × 1,221.24
  4. Step 4: Simplify right side
    1,393.77x = 2,538,335.13
  5. Step 5: Solve for x
    x = 2,538,335.13/1,393.77
  6. Step 6: Final answer
    x = 1,821.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.