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Finding the Fourth Proportional to 20,674.10, 31,011.15 and 6,821.30

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Solution

The fourth proportional to 20,674.10, 31,011.15 and 6,821.30 is: 10,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.10 : 31,011.15 = 6,821.30 : x
  2. Step 2: Convert to fraction form
    20,674.10/31,011.15 = 6,821.30/x
  3. Step 3: Cross multiply
    20,674.10x = 31,011.15 × 6,821.30
  4. Step 4: Simplify right side
    20,674.10x = 211,536,357.50
  5. Step 5: Solve for x
    x = 211,536,357.50/20,674.10
  6. Step 6: Final answer
    x = 10,231.95

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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.