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Finding the Fourth Proportional to 20,624, 30,896.18 and 12,310.66

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Solution

The fourth proportional to 20,624, 30,896.18 and 12,310.66 is: 18,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 30,896.18 = 12,310.66 : x
  2. Step 2: Convert to fraction form
    20,624/30,896.18 = 12,310.66/x
  3. Step 3: Cross multiply
    20,624x = 30,896.18 × 12,310.66
  4. Step 4: Simplify right side
    20,624x = 380,352,367.28
  5. Step 5: Solve for x
    x = 380,352,367.28/20,624
  6. Step 6: Final answer
    x = 18,442.22

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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.