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Finding the Fourth Proportional to 1,909.76, 2,865 and 814.12

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Solution

The fourth proportional to 1,909.76, 2,865 and 814.12 is: 1,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.76 : 2,865 = 814.12 : x
  2. Step 2: Convert to fraction form
    1,909.76/2,865 = 814.12/x
  3. Step 3: Cross multiply
    1,909.76x = 2,865 × 814.12
  4. Step 4: Simplify right side
    1,909.76x = 2,332,453.80
  5. Step 5: Solve for x
    x = 2,332,453.80/1,909.76
  6. Step 6: Final answer
    x = 1,221.33

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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.