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Finding the Fourth Proportional to 14,419, 21,632 and 7,021.78

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Solution

The fourth proportional to 14,419, 21,632 and 7,021.78 is: 10,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 21,632 = 7,021.78 : x
  2. Step 2: Convert to fraction form
    14,419/21,632 = 7,021.78/x
  3. Step 3: Cross multiply
    14,419x = 21,632 × 7,021.78
  4. Step 4: Simplify right side
    14,419x = 151,895,144.96
  5. Step 5: Solve for x
    x = 151,895,144.96/14,419
  6. Step 6: Final answer
    x = 10,534.37

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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.