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Finding the Fourth Proportional to 14,785, 20,403.78 and 8,161

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Solution

The fourth proportional to 14,785, 20,403.78 and 8,161 is: 11,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785 : 20,403.78 = 8,161 : x
  2. Step 2: Convert to fraction form
    14,785/20,403.78 = 8,161/x
  3. Step 3: Cross multiply
    14,785x = 20,403.78 × 8,161
  4. Step 4: Simplify right side
    14,785x = 166,515,248.58
  5. Step 5: Solve for x
    x = 166,515,248.58/14,785
  6. Step 6: Final answer
    x = 11,262.44

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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.