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Finding the Fourth Proportional to 21,194.50, 31,797.42 and 7,343.50

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Solution

The fourth proportional to 21,194.50, 31,797.42 and 7,343.50 is: 11,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.50 : 31,797.42 = 7,343.50 : x
  2. Step 2: Convert to fraction form
    21,194.50/31,797.42 = 7,343.50/x
  3. Step 3: Cross multiply
    21,194.50x = 31,797.42 × 7,343.50
  4. Step 4: Simplify right side
    21,194.50x = 233,504,353.77
  5. Step 5: Solve for x
    x = 233,504,353.77/21,194.50
  6. Step 6: Final answer
    x = 11,017.21

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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.