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Finding the Fourth Proportional to 2,096.64, 3,142.80 and 943.20

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Solution

The fourth proportional to 2,096.64, 3,142.80 and 943.20 is: 1,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.64 : 3,142.80 = 943.20 : x
  2. Step 2: Convert to fraction form
    2,096.64/3,142.80 = 943.20/x
  3. Step 3: Cross multiply
    2,096.64x = 3,142.80 × 943.20
  4. Step 4: Simplify right side
    2,096.64x = 2,964,288.96
  5. Step 5: Solve for x
    x = 2,964,288.96/2,096.64
  6. Step 6: Final answer
    x = 1,413.83

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Why These Related Problems?

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