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Finding the Fourth Proportional to 18,978.67, 28,456.66 and 6,494.55

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Solution

The fourth proportional to 18,978.67, 28,456.66 and 6,494.55 is: 9,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.67 : 28,456.66 = 6,494.55 : x
  2. Step 2: Convert to fraction form
    18,978.67/28,456.66 = 6,494.55/x
  3. Step 3: Cross multiply
    18,978.67x = 28,456.66 × 6,494.55
  4. Step 4: Simplify right side
    18,978.67x = 184,813,201.20
  5. Step 5: Solve for x
    x = 184,813,201.20/18,978.67
  6. Step 6: Final answer
    x = 9,737.94

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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.