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Finding the Fourth Proportional to 20,084.47, 30,097.01 and 18,961.16

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Solution

The fourth proportional to 20,084.47, 30,097.01 and 18,961.16 is: 28,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.47 : 30,097.01 = 18,961.16 : x
  2. Step 2: Convert to fraction form
    20,084.47/30,097.01 = 18,961.16/x
  3. Step 3: Cross multiply
    20,084.47x = 30,097.01 × 18,961.16
  4. Step 4: Simplify right side
    20,084.47x = 570,674,119.05
  5. Step 5: Solve for x
    x = 570,674,119.05/20,084.47
  6. Step 6: Final answer
    x = 28,413.70

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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.