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Finding the Fourth Proportional to 14,912.12, 22,348.74 and 6,138.20

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Solution

The fourth proportional to 14,912.12, 22,348.74 and 6,138.20 is: 9,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.12 : 22,348.74 = 6,138.20 : x
  2. Step 2: Convert to fraction form
    14,912.12/22,348.74 = 6,138.20/x
  3. Step 3: Cross multiply
    14,912.12x = 22,348.74 × 6,138.20
  4. Step 4: Simplify right side
    14,912.12x = 137,181,035.87
  5. Step 5: Solve for x
    x = 137,181,035.87/14,912.12
  6. Step 6: Final answer
    x = 9,199.30

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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.