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Finding the Fourth Proportional to 2,132.86, 3,199.38 and 746.34

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Solution

The fourth proportional to 2,132.86, 3,199.38 and 746.34 is: 1,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.86 : 3,199.38 = 746.34 : x
  2. Step 2: Convert to fraction form
    2,132.86/3,199.38 = 746.34/x
  3. Step 3: Cross multiply
    2,132.86x = 3,199.38 × 746.34
  4. Step 4: Simplify right side
    2,132.86x = 2,387,825.27
  5. Step 5: Solve for x
    x = 2,387,825.27/2,132.86
  6. Step 6: Final answer
    x = 1,119.54

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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.