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Finding the Fourth Proportional to 19,261.92, 28,892.07 and 6,781.98

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Solution

The fourth proportional to 19,261.92, 28,892.07 and 6,781.98 is: 10,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,261.92 : 28,892.07 = 6,781.98 : x
  2. Step 2: Convert to fraction form
    19,261.92/28,892.07 = 6,781.98/x
  3. Step 3: Cross multiply
    19,261.92x = 28,892.07 × 6,781.98
  4. Step 4: Simplify right side
    19,261.92x = 195,945,440.90
  5. Step 5: Solve for x
    x = 195,945,440.90/19,261.92
  6. Step 6: Final answer
    x = 10,172.68

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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.