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Finding the Fourth Proportional to 19,144.80, 28,728 and 8,061.84

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Solution

The fourth proportional to 19,144.80, 28,728 and 8,061.84 is: 12,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,144.80 : 28,728 = 8,061.84 : x
  2. Step 2: Convert to fraction form
    19,144.80/28,728 = 8,061.84/x
  3. Step 3: Cross multiply
    19,144.80x = 28,728 × 8,061.84
  4. Step 4: Simplify right side
    19,144.80x = 231,600,539.52
  5. Step 5: Solve for x
    x = 231,600,539.52/19,144.80
  6. Step 6: Final answer
    x = 12,097.31

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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.