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Finding the Fourth Proportional to 21,029.10, 31,542.94 and 5,234.10

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Solution

The fourth proportional to 21,029.10, 31,542.94 and 5,234.10 is: 7,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.10 : 31,542.94 = 5,234.10 : x
  2. Step 2: Convert to fraction form
    21,029.10/31,542.94 = 5,234.10/x
  3. Step 3: Cross multiply
    21,029.10x = 31,542.94 × 5,234.10
  4. Step 4: Simplify right side
    21,029.10x = 165,098,902.25
  5. Step 5: Solve for x
    x = 165,098,902.25/21,029.10
  6. Step 6: Final answer
    x = 7,850.97

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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.