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Finding the Fourth Proportional to 18,957.78, 28,424.49 and 7,872.12

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Solution

The fourth proportional to 18,957.78, 28,424.49 and 7,872.12 is: 11,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,957.78 : 28,424.49 = 7,872.12 : x
  2. Step 2: Convert to fraction form
    18,957.78/28,424.49 = 7,872.12/x
  3. Step 3: Cross multiply
    18,957.78x = 28,424.49 × 7,872.12
  4. Step 4: Simplify right side
    18,957.78x = 223,760,996.22
  5. Step 5: Solve for x
    x = 223,760,996.22/18,957.78
  6. Step 6: Final answer
    x = 11,803.12

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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.