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Finding the Fourth Proportional to 19,993.65, 29,961.32 and 11,231.07

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Solution

The fourth proportional to 19,993.65, 29,961.32 and 11,231.07 is: 16,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.65 : 29,961.32 = 11,231.07 : x
  2. Step 2: Convert to fraction form
    19,993.65/29,961.32 = 11,231.07/x
  3. Step 3: Cross multiply
    19,993.65x = 29,961.32 × 11,231.07
  4. Step 4: Simplify right side
    19,993.65x = 336,497,626.06
  5. Step 5: Solve for x
    x = 336,497,626.06/19,993.65
  6. Step 6: Final answer
    x = 16,830.22

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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.