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Finding the Fourth Proportional to 3,393.39, 4,682.85 and 1,977.91

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Solution

The fourth proportional to 3,393.39, 4,682.85 and 1,977.91 is: 2,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.39 : 4,682.85 = 1,977.91 : x
  2. Step 2: Convert to fraction form
    3,393.39/4,682.85 = 1,977.91/x
  3. Step 3: Cross multiply
    3,393.39x = 4,682.85 × 1,977.91
  4. Step 4: Simplify right side
    3,393.39x = 9,262,236.72
  5. Step 5: Solve for x
    x = 9,262,236.72/3,393.39
  6. Step 6: Final answer
    x = 2,729.49

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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.