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Finding the Fourth Proportional to 20,817.41, 31,238.41 and 7,679.00

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Solution

The fourth proportional to 20,817.41, 31,238.41 and 7,679.00 is: 11,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.41 : 31,238.41 = 7,679.00 : x
  2. Step 2: Convert to fraction form
    20,817.41/31,238.41 = 7,679.00/x
  3. Step 3: Cross multiply
    20,817.41x = 31,238.41 × 7,679.00
  4. Step 4: Simplify right side
    20,817.41x = 239,879,809.29
  5. Step 5: Solve for x
    x = 239,879,809.29/20,817.41
  6. Step 6: Final answer
    x = 11,523.04

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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.