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Finding the Fourth Proportional to 19,999.72, 29,989.52 and 6,668

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Solution

The fourth proportional to 19,999.72, 29,989.52 and 6,668 is: 9,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999.72 : 29,989.52 = 6,668 : x
  2. Step 2: Convert to fraction form
    19,999.72/29,989.52 = 6,668/x
  3. Step 3: Cross multiply
    19,999.72x = 29,989.52 × 6,668
  4. Step 4: Simplify right side
    19,999.72x = 199,970,119.36
  5. Step 5: Solve for x
    x = 199,970,119.36/19,999.72
  6. Step 6: Final answer
    x = 9,998.65

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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.