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Finding the Fourth Proportional to 1,898.46, 2,849.49 and 1,169.46

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Solution

The fourth proportional to 1,898.46, 2,849.49 and 1,169.46 is: 1,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.46 : 2,849.49 = 1,169.46 : x
  2. Step 2: Convert to fraction form
    1,898.46/2,849.49 = 1,169.46/x
  3. Step 3: Cross multiply
    1,898.46x = 2,849.49 × 1,169.46
  4. Step 4: Simplify right side
    1,898.46x = 3,332,364.58
  5. Step 5: Solve for x
    x = 3,332,364.58/1,898.46
  6. Step 6: Final answer
    x = 1,755.30

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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.