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Finding the Fourth Proportional to 2,519.14, 3,779.39 and 764.07

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Solution

The fourth proportional to 2,519.14, 3,779.39 and 764.07 is: 1,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.14 : 3,779.39 = 764.07 : x
  2. Step 2: Convert to fraction form
    2,519.14/3,779.39 = 764.07/x
  3. Step 3: Cross multiply
    2,519.14x = 3,779.39 × 764.07
  4. Step 4: Simplify right side
    2,519.14x = 2,887,718.52
  5. Step 5: Solve for x
    x = 2,887,718.52/2,519.14
  6. Step 6: Final answer
    x = 1,146.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.