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Finding the Fourth Proportional to 20,141.87, 30,224.95 and 7,003.46

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Solution

The fourth proportional to 20,141.87, 30,224.95 and 7,003.46 is: 10,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.87 : 30,224.95 = 7,003.46 : x
  2. Step 2: Convert to fraction form
    20,141.87/30,224.95 = 7,003.46/x
  3. Step 3: Cross multiply
    20,141.87x = 30,224.95 × 7,003.46
  4. Step 4: Simplify right side
    20,141.87x = 211,679,286.38
  5. Step 5: Solve for x
    x = 211,679,286.38/20,141.87
  6. Step 6: Final answer
    x = 10,509.42

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1.5x scale

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.