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Finding the Fourth Proportional to 20,835.54, 31,249.95 and 7,694.10

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Solution

The fourth proportional to 20,835.54, 31,249.95 and 7,694.10 is: 11,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.54 : 31,249.95 = 7,694.10 : x
  2. Step 2: Convert to fraction form
    20,835.54/31,249.95 = 7,694.10/x
  3. Step 3: Cross multiply
    20,835.54x = 31,249.95 × 7,694.10
  4. Step 4: Simplify right side
    20,835.54x = 240,440,240.30
  5. Step 5: Solve for x
    x = 240,440,240.30/20,835.54
  6. Step 6: Final answer
    x = 11,539.91

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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.