Home / 2,147.71-3,221.80-1,314.37

Finding the Fourth Proportional to 2,147.71, 3,221.80 and 1,314.37

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Solution

The fourth proportional to 2,147.71, 3,221.80 and 1,314.37 is: 1,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.71 : 3,221.80 = 1,314.37 : x
  2. Step 2: Convert to fraction form
    2,147.71/3,221.80 = 1,314.37/x
  3. Step 3: Cross multiply
    2,147.71x = 3,221.80 × 1,314.37
  4. Step 4: Simplify right side
    2,147.71x = 4,234,624.44
  5. Step 5: Solve for x
    x = 4,234,624.44/2,147.71
  6. Step 6: Final answer
    x = 1,971.69

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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.