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Finding the Fourth Proportional to 2,164.96, 3,248.83 and 2,147.34

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Solution

The fourth proportional to 2,164.96, 3,248.83 and 2,147.34 is: 3,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.96 : 3,248.83 = 2,147.34 : x
  2. Step 2: Convert to fraction form
    2,164.96/3,248.83 = 2,147.34/x
  3. Step 3: Cross multiply
    2,164.96x = 3,248.83 × 2,147.34
  4. Step 4: Simplify right side
    2,164.96x = 6,976,357.48
  5. Step 5: Solve for x
    x = 6,976,357.48/2,164.96
  6. Step 6: Final answer
    x = 3,222.39

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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.