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Finding the Fourth Proportional to 20,007, 30,010.91 and 6,156

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Solution

The fourth proportional to 20,007, 30,010.91 and 6,156 is: 9,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 30,010.91 = 6,156 : x
  2. Step 2: Convert to fraction form
    20,007/30,010.91 = 6,156/x
  3. Step 3: Cross multiply
    20,007x = 30,010.91 × 6,156
  4. Step 4: Simplify right side
    20,007x = 184,747,131.18
  5. Step 5: Solve for x
    x = 184,747,131.18/20,007
  6. Step 6: Final answer
    x = 9,234.12

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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.