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Finding the Fourth Proportional to 20,616.80, 30,929.40 and 6,576.44

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Solution

The fourth proportional to 20,616.80, 30,929.40 and 6,576.44 is: 9,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.80 : 30,929.40 = 6,576.44 : x
  2. Step 2: Convert to fraction form
    20,616.80/30,929.40 = 6,576.44/x
  3. Step 3: Cross multiply
    20,616.80x = 30,929.40 × 6,576.44
  4. Step 4: Simplify right side
    20,616.80x = 203,405,188.69
  5. Step 5: Solve for x
    x = 203,405,188.69/20,616.80
  6. Step 6: Final answer
    x = 9,865.99

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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.