Home / 2,068.24-3,102.90-681.80

Finding the Fourth Proportional to 2,068.24, 3,102.90 and 681.80

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Solution

The fourth proportional to 2,068.24, 3,102.90 and 681.80 is: 1,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.24 : 3,102.90 = 681.80 : x
  2. Step 2: Convert to fraction form
    2,068.24/3,102.90 = 681.80/x
  3. Step 3: Cross multiply
    2,068.24x = 3,102.90 × 681.80
  4. Step 4: Simplify right side
    2,068.24x = 2,115,557.22
  5. Step 5: Solve for x
    x = 2,115,557.22/2,068.24
  6. Step 6: Final answer
    x = 1,022.88

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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.