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Finding the Fourth Proportional to 8,142.68, 12,219.90 and 3,463.98

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Solution

The fourth proportional to 8,142.68, 12,219.90 and 3,463.98 is: 5,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.68 : 12,219.90 = 3,463.98 : x
  2. Step 2: Convert to fraction form
    8,142.68/12,219.90 = 3,463.98/x
  3. Step 3: Cross multiply
    8,142.68x = 12,219.90 × 3,463.98
  4. Step 4: Simplify right side
    8,142.68x = 42,329,499.12
  5. Step 5: Solve for x
    x = 42,329,499.12/8,142.68
  6. Step 6: Final answer
    x = 5,198.47

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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.