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Finding the Fourth Proportional to 21,603, 29,812.14 and 11,667

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Solution

The fourth proportional to 21,603, 29,812.14 and 11,667 is: 16,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603 : 29,812.14 = 11,667 : x
  2. Step 2: Convert to fraction form
    21,603/29,812.14 = 11,667/x
  3. Step 3: Cross multiply
    21,603x = 29,812.14 × 11,667
  4. Step 4: Simplify right side
    21,603x = 347,818,237.38
  5. Step 5: Solve for x
    x = 347,818,237.38/21,603
  6. Step 6: Final answer
    x = 16,100.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.