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Finding the Fourth Proportional to 3,463.52, 4,779.47 and 1,891.31

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Solution

The fourth proportional to 3,463.52, 4,779.47 and 1,891.31 is: 2,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.52 : 4,779.47 = 1,891.31 : x
  2. Step 2: Convert to fraction form
    3,463.52/4,779.47 = 1,891.31/x
  3. Step 3: Cross multiply
    3,463.52x = 4,779.47 × 1,891.31
  4. Step 4: Simplify right side
    3,463.52x = 9,039,440.24
  5. Step 5: Solve for x
    x = 9,039,440.24/3,463.52
  6. Step 6: Final answer
    x = 2,609.90

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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.