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Finding the Fourth Proportional to 18,938.58, 28,413.84 and 7,850.52

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Solution

The fourth proportional to 18,938.58, 28,413.84 and 7,850.52 is: 11,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938.58 : 28,413.84 = 7,850.52 : x
  2. Step 2: Convert to fraction form
    18,938.58/28,413.84 = 7,850.52/x
  3. Step 3: Cross multiply
    18,938.58x = 28,413.84 × 7,850.52
  4. Step 4: Simplify right side
    18,938.58x = 223,063,419.20
  5. Step 5: Solve for x
    x = 223,063,419.20/18,938.58
  6. Step 6: Final answer
    x = 11,778.25

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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.