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Finding the Fourth Proportional to 20,102.76, 30,156.06 and 9,009

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Solution

The fourth proportional to 20,102.76, 30,156.06 and 9,009 is: 13,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.76 : 30,156.06 = 9,009 : x
  2. Step 2: Convert to fraction form
    20,102.76/30,156.06 = 9,009/x
  3. Step 3: Cross multiply
    20,102.76x = 30,156.06 × 9,009
  4. Step 4: Simplify right side
    20,102.76x = 271,675,944.54
  5. Step 5: Solve for x
    x = 271,675,944.54/20,102.76
  6. Step 6: Final answer
    x = 13,514.36

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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.