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Finding the Fourth Proportional to 2,191.42, 3,285.42 and 1,496.38

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Solution

The fourth proportional to 2,191.42, 3,285.42 and 1,496.38 is: 2,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.42 : 3,285.42 = 1,496.38 : x
  2. Step 2: Convert to fraction form
    2,191.42/3,285.42 = 1,496.38/x
  3. Step 3: Cross multiply
    2,191.42x = 3,285.42 × 1,496.38
  4. Step 4: Simplify right side
    2,191.42x = 4,916,236.78
  5. Step 5: Solve for x
    x = 4,916,236.78/2,191.42
  6. Step 6: Final answer
    x = 2,243.40

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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.