Home / 1,949.76-2,689.80-1,163.34

Finding the Fourth Proportional to 1,949.76, 2,689.80 and 1,163.34

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Solution

The fourth proportional to 1,949.76, 2,689.80 and 1,163.34 is: 1,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.76 : 2,689.80 = 1,163.34 : x
  2. Step 2: Convert to fraction form
    1,949.76/2,689.80 = 1,163.34/x
  3. Step 3: Cross multiply
    1,949.76x = 2,689.80 × 1,163.34
  4. Step 4: Simplify right side
    1,949.76x = 3,129,151.93
  5. Step 5: Solve for x
    x = 3,129,151.93/1,949.76
  6. Step 6: Final answer
    x = 1,604.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.