Home / 2,141.40-3,212.11-680.70

Finding the Fourth Proportional to 2,141.40, 3,212.11 and 680.70

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Solution

The fourth proportional to 2,141.40, 3,212.11 and 680.70 is: 1,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.40 : 3,212.11 = 680.70 : x
  2. Step 2: Convert to fraction form
    2,141.40/3,212.11 = 680.70/x
  3. Step 3: Cross multiply
    2,141.40x = 3,212.11 × 680.70
  4. Step 4: Simplify right side
    2,141.40x = 2,186,483.28
  5. Step 5: Solve for x
    x = 2,186,483.28/2,141.40
  6. Step 6: Final answer
    x = 1,021.05

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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.