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Finding the Fourth Proportional to 14,814, 20,443.05 and 8,847

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Solution

The fourth proportional to 14,814, 20,443.05 and 8,847 is: 12,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 20,443.05 = 8,847 : x
  2. Step 2: Convert to fraction form
    14,814/20,443.05 = 8,847/x
  3. Step 3: Cross multiply
    14,814x = 20,443.05 × 8,847
  4. Step 4: Simplify right side
    14,814x = 180,859,663.35
  5. Step 5: Solve for x
    x = 180,859,663.35/14,814
  6. Step 6: Final answer
    x = 12,208.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.