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Finding the Fourth Proportional to 21,194.89, 31,792.35 and 7,343.89

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Solution

The fourth proportional to 21,194.89, 31,792.35 and 7,343.89 is: 11,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.89 : 31,792.35 = 7,343.89 : x
  2. Step 2: Convert to fraction form
    21,194.89/31,792.35 = 7,343.89/x
  3. Step 3: Cross multiply
    21,194.89x = 31,792.35 × 7,343.89
  4. Step 4: Simplify right side
    21,194.89x = 233,479,521.24
  5. Step 5: Solve for x
    x = 233,479,521.24/21,194.89
  6. Step 6: Final answer
    x = 11,015.84

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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.