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Finding the Fourth Proportional to 1,920.28, 2,873.94 and 1,147

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Solution

The fourth proportional to 1,920.28, 2,873.94 and 1,147 is: 1,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.28 : 2,873.94 = 1,147 : x
  2. Step 2: Convert to fraction form
    1,920.28/2,873.94 = 1,147/x
  3. Step 3: Cross multiply
    1,920.28x = 2,873.94 × 1,147
  4. Step 4: Simplify right side
    1,920.28x = 3,296,409.18
  5. Step 5: Solve for x
    x = 3,296,409.18/1,920.28
  6. Step 6: Final answer
    x = 1,716.63

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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.