Home / 20,812-31,221.36-6,964.24

Finding the Fourth Proportional to 20,812, 31,221.36 and 6,964.24

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Solution

The fourth proportional to 20,812, 31,221.36 and 6,964.24 is: 10,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812 : 31,221.36 = 6,964.24 : x
  2. Step 2: Convert to fraction form
    20,812/31,221.36 = 6,964.24/x
  3. Step 3: Cross multiply
    20,812x = 31,221.36 × 6,964.24
  4. Step 4: Simplify right side
    20,812x = 217,433,044.17
  5. Step 5: Solve for x
    x = 217,433,044.17/20,812
  6. Step 6: Final answer
    x = 10,447.48

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1.5x scale

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.