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Finding the Fourth Proportional to 20,706.58, 31,046.46 and 8,868.04

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Solution

The fourth proportional to 20,706.58, 31,046.46 and 8,868.04 is: 13,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.58 : 31,046.46 = 8,868.04 : x
  2. Step 2: Convert to fraction form
    20,706.58/31,046.46 = 8,868.04/x
  3. Step 3: Cross multiply
    20,706.58x = 31,046.46 × 8,868.04
  4. Step 4: Simplify right side
    20,706.58x = 275,321,249.14
  5. Step 5: Solve for x
    x = 275,321,249.14/20,706.58
  6. Step 6: Final answer
    x = 13,296.32

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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.