Home / 20,800.96-31,181.76-6,940

Finding the Fourth Proportional to 20,800.96, 31,181.76 and 6,940

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Solution

The fourth proportional to 20,800.96, 31,181.76 and 6,940 is: 10,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.96 : 31,181.76 = 6,940 : x
  2. Step 2: Convert to fraction form
    20,800.96/31,181.76 = 6,940/x
  3. Step 3: Cross multiply
    20,800.96x = 31,181.76 × 6,940
  4. Step 4: Simplify right side
    20,800.96x = 216,401,414.40
  5. Step 5: Solve for x
    x = 216,401,414.40/20,800.96
  6. Step 6: Final answer
    x = 10,403.43

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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.