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Finding the Fourth Proportional to 20,151.80, 30,228 and 7,004.62

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Solution

The fourth proportional to 20,151.80, 30,228 and 7,004.62 is: 10,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.80 : 30,228 = 7,004.62 : x
  2. Step 2: Convert to fraction form
    20,151.80/30,228 = 7,004.62/x
  3. Step 3: Cross multiply
    20,151.80x = 30,228 × 7,004.62
  4. Step 4: Simplify right side
    20,151.80x = 211,735,653.36
  5. Step 5: Solve for x
    x = 211,735,653.36/20,151.80
  6. Step 6: Final answer
    x = 10,507.03

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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.