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Finding the Fourth Proportional to 20,660.51, 30,949.17 and 9,551.90

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Solution

The fourth proportional to 20,660.51, 30,949.17 and 9,551.90 is: 14,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660.51 : 30,949.17 = 9,551.90 : x
  2. Step 2: Convert to fraction form
    20,660.51/30,949.17 = 9,551.90/x
  3. Step 3: Cross multiply
    20,660.51x = 30,949.17 × 9,551.90
  4. Step 4: Simplify right side
    20,660.51x = 295,623,222.18
  5. Step 5: Solve for x
    x = 295,623,222.18/20,660.51
  6. Step 6: Final answer
    x = 14,308.62

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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.