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Finding the Fourth Proportional to 18,647.31, 27,978.27 and 6,957.81

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Solution

The fourth proportional to 18,647.31, 27,978.27 and 6,957.81 is: 10,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.31 : 27,978.27 = 6,957.81 : x
  2. Step 2: Convert to fraction form
    18,647.31/27,978.27 = 6,957.81/x
  3. Step 3: Cross multiply
    18,647.31x = 27,978.27 × 6,957.81
  4. Step 4: Simplify right side
    18,647.31x = 194,667,486.79
  5. Step 5: Solve for x
    x = 194,667,486.79/18,647.31
  6. Step 6: Final answer
    x = 10,439.44

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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.