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Finding the Fourth Proportional to 20,770, 31,156.86 and 8,287

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Solution

The fourth proportional to 20,770, 31,156.86 and 8,287 is: 12,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770 : 31,156.86 = 8,287 : x
  2. Step 2: Convert to fraction form
    20,770/31,156.86 = 8,287/x
  3. Step 3: Cross multiply
    20,770x = 31,156.86 × 8,287
  4. Step 4: Simplify right side
    20,770x = 258,196,898.82
  5. Step 5: Solve for x
    x = 258,196,898.82/20,770
  6. Step 6: Final answer
    x = 12,431.24

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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.