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Finding the Fourth Proportional to 20,107.20, 30,150 and 6,955.68

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Solution

The fourth proportional to 20,107.20, 30,150 and 6,955.68 is: 10,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.20 : 30,150 = 6,955.68 : x
  2. Step 2: Convert to fraction form
    20,107.20/30,150 = 6,955.68/x
  3. Step 3: Cross multiply
    20,107.20x = 30,150 × 6,955.68
  4. Step 4: Simplify right side
    20,107.20x = 209,713,752
  5. Step 5: Solve for x
    x = 209,713,752/20,107.20
  6. Step 6: Final answer
    x = 10,429.78

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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.