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Finding the Fourth Proportional to 20,518, 30,774.18 and 8,029.36

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Solution

The fourth proportional to 20,518, 30,774.18 and 8,029.36 is: 12,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518 : 30,774.18 = 8,029.36 : x
  2. Step 2: Convert to fraction form
    20,518/30,774.18 = 8,029.36/x
  3. Step 3: Cross multiply
    20,518x = 30,774.18 × 8,029.36
  4. Step 4: Simplify right side
    20,518x = 247,096,969.92
  5. Step 5: Solve for x
    x = 247,096,969.92/20,518
  6. Step 6: Final answer
    x = 12,042.94

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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.