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Finding the Fourth Proportional to 20,644.68, 30,964.14 and 6,789

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Solution

The fourth proportional to 20,644.68, 30,964.14 and 6,789 is: 10,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.68 : 30,964.14 = 6,789 : x
  2. Step 2: Convert to fraction form
    20,644.68/30,964.14 = 6,789/x
  3. Step 3: Cross multiply
    20,644.68x = 30,964.14 × 6,789
  4. Step 4: Simplify right side
    20,644.68x = 210,215,546.46
  5. Step 5: Solve for x
    x = 210,215,546.46/20,644.68
  6. Step 6: Final answer
    x = 10,182.55

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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.