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Finding the Fourth Proportional to 14,149, 21,223.50 and 7,993.48

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Solution

The fourth proportional to 14,149, 21,223.50 and 7,993.48 is: 11,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149 : 21,223.50 = 7,993.48 : x
  2. Step 2: Convert to fraction form
    14,149/21,223.50 = 7,993.48/x
  3. Step 3: Cross multiply
    14,149x = 21,223.50 × 7,993.48
  4. Step 4: Simplify right side
    14,149x = 169,649,622.78
  5. Step 5: Solve for x
    x = 169,649,622.78/14,149
  6. Step 6: Final answer
    x = 11,990.22

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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.