Home / 2,106.62-3,160.38-808.46

Finding the Fourth Proportional to 2,106.62, 3,160.38 and 808.46

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Solution

The fourth proportional to 2,106.62, 3,160.38 and 808.46 is: 1,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.62 : 3,160.38 = 808.46 : x
  2. Step 2: Convert to fraction form
    2,106.62/3,160.38 = 808.46/x
  3. Step 3: Cross multiply
    2,106.62x = 3,160.38 × 808.46
  4. Step 4: Simplify right side
    2,106.62x = 2,555,040.81
  5. Step 5: Solve for x
    x = 2,555,040.81/2,106.62
  6. Step 6: Final answer
    x = 1,212.86

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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.