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Finding the Fourth Proportional to 1,809.91, 2,711.79 and 1,152.49

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Solution

The fourth proportional to 1,809.91, 2,711.79 and 1,152.49 is: 1,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.91 : 2,711.79 = 1,152.49 : x
  2. Step 2: Convert to fraction form
    1,809.91/2,711.79 = 1,152.49/x
  3. Step 3: Cross multiply
    1,809.91x = 2,711.79 × 1,152.49
  4. Step 4: Simplify right side
    1,809.91x = 3,125,310.86
  5. Step 5: Solve for x
    x = 3,125,310.86/1,809.91
  6. Step 6: Final answer
    x = 1,726.78

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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.