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Finding the Fourth Proportional to 20,005.90, 29,992.03 and 9,469.82

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Solution

The fourth proportional to 20,005.90, 29,992.03 and 9,469.82 is: 14,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.90 : 29,992.03 = 9,469.82 : x
  2. Step 2: Convert to fraction form
    20,005.90/29,992.03 = 9,469.82/x
  3. Step 3: Cross multiply
    20,005.90x = 29,992.03 × 9,469.82
  4. Step 4: Simplify right side
    20,005.90x = 284,019,125.53
  5. Step 5: Solve for x
    x = 284,019,125.53/20,005.90
  6. Step 6: Final answer
    x = 14,196.77

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1.5x scale

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.