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Finding the Fourth Proportional to 20,769, 31,155.36 and 8,286

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Solution

The fourth proportional to 20,769, 31,155.36 and 8,286 is: 12,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 31,155.36 = 8,286 : x
  2. Step 2: Convert to fraction form
    20,769/31,155.36 = 8,286/x
  3. Step 3: Cross multiply
    20,769x = 31,155.36 × 8,286
  4. Step 4: Simplify right side
    20,769x = 258,153,312.96
  5. Step 5: Solve for x
    x = 258,153,312.96/20,769
  6. Step 6: Final answer
    x = 12,429.74

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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.