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Finding the Fourth Proportional to 2,112.58, 3,169.39 and 814.14

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Solution

The fourth proportional to 2,112.58, 3,169.39 and 814.14 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.58 : 3,169.39 = 814.14 : x
  2. Step 2: Convert to fraction form
    2,112.58/3,169.39 = 814.14/x
  3. Step 3: Cross multiply
    2,112.58x = 3,169.39 × 814.14
  4. Step 4: Simplify right side
    2,112.58x = 2,580,327.17
  5. Step 5: Solve for x
    x = 2,580,327.17/2,112.58
  6. Step 6: Final answer
    x = 1,221.41

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1.5x scale

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.