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Finding the Fourth Proportional to 20,477.82, 30,717.30 and 5,687.82

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Solution

The fourth proportional to 20,477.82, 30,717.30 and 5,687.82 is: 8,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.82 : 30,717.30 = 5,687.82 : x
  2. Step 2: Convert to fraction form
    20,477.82/30,717.30 = 5,687.82/x
  3. Step 3: Cross multiply
    20,477.82x = 30,717.30 × 5,687.82
  4. Step 4: Simplify right side
    20,477.82x = 174,714,473.29
  5. Step 5: Solve for x
    x = 174,714,473.29/20,477.82
  6. Step 6: Final answer
    x = 8,531.89

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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.