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Finding the Fourth Proportional to 20,184.92, 30,278.93 and 6,146.15

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Solution

The fourth proportional to 20,184.92, 30,278.93 and 6,146.15 is: 9,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.92 : 30,278.93 = 6,146.15 : x
  2. Step 2: Convert to fraction form
    20,184.92/30,278.93 = 6,146.15/x
  3. Step 3: Cross multiply
    20,184.92x = 30,278.93 × 6,146.15
  4. Step 4: Simplify right side
    20,184.92x = 186,098,845.62
  5. Step 5: Solve for x
    x = 186,098,845.62/20,184.92
  6. Step 6: Final answer
    x = 9,219.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.