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Finding the Fourth Proportional to 3,463.77, 4,780.05 and 1,891.86

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Solution

The fourth proportional to 3,463.77, 4,780.05 and 1,891.86 is: 2,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.77 : 4,780.05 = 1,891.86 : x
  2. Step 2: Convert to fraction form
    3,463.77/4,780.05 = 1,891.86/x
  3. Step 3: Cross multiply
    3,463.77x = 4,780.05 × 1,891.86
  4. Step 4: Simplify right side
    3,463.77x = 9,043,185.39
  5. Step 5: Solve for x
    x = 9,043,185.39/3,463.77
  6. Step 6: Final answer
    x = 2,610.79

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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.