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Finding the Fourth Proportional to 3,463.68, 4,779.87 and 1,891.77

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Solution

The fourth proportional to 3,463.68, 4,779.87 and 1,891.77 is: 2,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.68 : 4,779.87 = 1,891.77 : x
  2. Step 2: Convert to fraction form
    3,463.68/4,779.87 = 1,891.77/x
  3. Step 3: Cross multiply
    3,463.68x = 4,779.87 × 1,891.77
  4. Step 4: Simplify right side
    3,463.68x = 9,042,414.67
  5. Step 5: Solve for x
    x = 9,042,414.67/3,463.68
  6. Step 6: Final answer
    x = 2,610.64

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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.