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Finding the Fourth Proportional to 19,894.77, 29,850.03 and 8,205.27

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Solution

The fourth proportional to 19,894.77, 29,850.03 and 8,205.27 is: 12,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.77 : 29,850.03 = 8,205.27 : x
  2. Step 2: Convert to fraction form
    19,894.77/29,850.03 = 8,205.27/x
  3. Step 3: Cross multiply
    19,894.77x = 29,850.03 × 8,205.27
  4. Step 4: Simplify right side
    19,894.77x = 244,927,555.66
  5. Step 5: Solve for x
    x = 244,927,555.66/19,894.77
  6. Step 6: Final answer
    x = 12,311.15

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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.