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Finding the Fourth Proportional to 2,074.00, 3,111.30 and 757.82

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Solution

The fourth proportional to 2,074.00, 3,111.30 and 757.82 is: 1,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.00 : 3,111.30 = 757.82 : x
  2. Step 2: Convert to fraction form
    2,074.00/3,111.30 = 757.82/x
  3. Step 3: Cross multiply
    2,074.00x = 3,111.30 × 757.82
  4. Step 4: Simplify right side
    2,074.00x = 2,357,789.81
  5. Step 5: Solve for x
    x = 2,357,789.81/2,074.00
  6. Step 6: Final answer
    x = 1,136.83

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