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Finding the Fourth Proportional to 1,301.96, 1,942.86 and 1,163.50

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Solution

The fourth proportional to 1,301.96, 1,942.86 and 1,163.50 is: 1,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.96 : 1,942.86 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    1,301.96/1,942.86 = 1,163.50/x
  3. Step 3: Cross multiply
    1,301.96x = 1,942.86 × 1,163.50
  4. Step 4: Simplify right side
    1,301.96x = 2,260,517.61
  5. Step 5: Solve for x
    x = 2,260,517.61/1,301.96
  6. Step 6: Final answer
    x = 1,736.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.