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Finding the Fourth Proportional to 20,704.92, 31,044 and 8,866.44

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Solution

The fourth proportional to 20,704.92, 31,044 and 8,866.44 is: 13,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.92 : 31,044 = 8,866.44 : x
  2. Step 2: Convert to fraction form
    20,704.92/31,044 = 8,866.44/x
  3. Step 3: Cross multiply
    20,704.92x = 31,044 × 8,866.44
  4. Step 4: Simplify right side
    20,704.92x = 275,249,763.36
  5. Step 5: Solve for x
    x = 275,249,763.36/20,704.92
  6. Step 6: Final answer
    x = 13,293.93

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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.