Home / 2,086.40-3,126.40-1,971.20

Finding the Fourth Proportional to 2,086.40, 3,126.40 and 1,971.20

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Solution

The fourth proportional to 2,086.40, 3,126.40 and 1,971.20 is: 2,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.40 : 3,126.40 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    2,086.40/3,126.40 = 1,971.20/x
  3. Step 3: Cross multiply
    2,086.40x = 3,126.40 × 1,971.20
  4. Step 4: Simplify right side
    2,086.40x = 6,162,759.68
  5. Step 5: Solve for x
    x = 6,162,759.68/2,086.40
  6. Step 6: Final answer
    x = 2,953.78

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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.