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Finding the Fourth Proportional to 18,928.76, 28,372.48 and 7,829.53

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Solution

The fourth proportional to 18,928.76, 28,372.48 and 7,829.53 is: 11,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,928.76 : 28,372.48 = 7,829.53 : x
  2. Step 2: Convert to fraction form
    18,928.76/28,372.48 = 7,829.53/x
  3. Step 3: Cross multiply
    18,928.76x = 28,372.48 × 7,829.53
  4. Step 4: Simplify right side
    18,928.76x = 222,143,092.83
  5. Step 5: Solve for x
    x = 222,143,092.83/18,928.76
  6. Step 6: Final answer
    x = 11,735.75

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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.