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Finding the Fourth Proportional to 1,891.65, 2,611.41 and 1,779.48

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Solution

The fourth proportional to 1,891.65, 2,611.41 and 1,779.48 is: 2,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.65 : 2,611.41 = 1,779.48 : x
  2. Step 2: Convert to fraction form
    1,891.65/2,611.41 = 1,779.48/x
  3. Step 3: Cross multiply
    1,891.65x = 2,611.41 × 1,779.48
  4. Step 4: Simplify right side
    1,891.65x = 4,646,951.87
  5. Step 5: Solve for x
    x = 4,646,951.87/1,891.65
  6. Step 6: Final answer
    x = 2,456.56

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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.