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Finding the Fourth Proportional to 21,222, 31,608.83 and 20,111.76

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Solution

The fourth proportional to 21,222, 31,608.83 and 20,111.76 is: 29,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222 : 31,608.83 = 20,111.76 : x
  2. Step 2: Convert to fraction form
    21,222/31,608.83 = 20,111.76/x
  3. Step 3: Cross multiply
    21,222x = 31,608.83 × 20,111.76
  4. Step 4: Simplify right side
    21,222x = 635,709,202.84
  5. Step 5: Solve for x
    x = 635,709,202.84/21,222
  6. Step 6: Final answer
    x = 29,955.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.