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Finding the Fourth Proportional to 21,194.88, 31,792.31 and 7,343.88

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Solution

The fourth proportional to 21,194.88, 31,792.31 and 7,343.88 is: 11,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.88 : 31,792.31 = 7,343.88 : x
  2. Step 2: Convert to fraction form
    21,194.88/31,792.31 = 7,343.88/x
  3. Step 3: Cross multiply
    21,194.88x = 31,792.31 × 7,343.88
  4. Step 4: Simplify right side
    21,194.88x = 233,478,909.56
  5. Step 5: Solve for x
    x = 233,478,909.56/21,194.88
  6. Step 6: Final answer
    x = 11,015.82

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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.