Home / 1,212.28-1,671.86-819.83

Finding the Fourth Proportional to 1,212.28, 1,671.86 and 819.83

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Solution

The fourth proportional to 1,212.28, 1,671.86 and 819.83 is: 1,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.28 : 1,671.86 = 819.83 : x
  2. Step 2: Convert to fraction form
    1,212.28/1,671.86 = 819.83/x
  3. Step 3: Cross multiply
    1,212.28x = 1,671.86 × 819.83
  4. Step 4: Simplify right side
    1,212.28x = 1,370,647.21
  5. Step 5: Solve for x
    x = 1,370,647.21/1,212.28
  6. Step 6: Final answer
    x = 1,130.64

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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.