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Finding the Fourth Proportional to 20,043.59, 30,083.94 and 10,189.94

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Solution

The fourth proportional to 20,043.59, 30,083.94 and 10,189.94 is: 15,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.59 : 30,083.94 = 10,189.94 : x
  2. Step 2: Convert to fraction form
    20,043.59/30,083.94 = 10,189.94/x
  3. Step 3: Cross multiply
    20,043.59x = 30,083.94 × 10,189.94
  4. Step 4: Simplify right side
    20,043.59x = 306,553,393.14
  5. Step 5: Solve for x
    x = 306,553,393.14/20,043.59
  6. Step 6: Final answer
    x = 15,294.34

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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.