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Finding the Fourth Proportional to 14,845, 20,487.54 and 8,221

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Solution

The fourth proportional to 14,845, 20,487.54 and 8,221 is: 11,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,845 : 20,487.54 = 8,221 : x
  2. Step 2: Convert to fraction form
    14,845/20,487.54 = 8,221/x
  3. Step 3: Cross multiply
    14,845x = 20,487.54 × 8,221
  4. Step 4: Simplify right side
    14,845x = 168,428,066.34
  5. Step 5: Solve for x
    x = 168,428,066.34/14,845
  6. Step 6: Final answer
    x = 11,345.78

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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.