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Finding the Fourth Proportional to 2,614.68, 3,920.50 and 1,793.34

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Solution

The fourth proportional to 2,614.68, 3,920.50 and 1,793.34 is: 2,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.68 : 3,920.50 = 1,793.34 : x
  2. Step 2: Convert to fraction form
    2,614.68/3,920.50 = 1,793.34/x
  3. Step 3: Cross multiply
    2,614.68x = 3,920.50 × 1,793.34
  4. Step 4: Simplify right side
    2,614.68x = 7,030,791.71
  5. Step 5: Solve for x
    x = 7,030,791.71/2,614.68
  6. Step 6: Final answer
    x = 2,688.97

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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.