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Finding the Fourth Proportional to 12,192.46, 18,280.49 and 5,174.01

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Solution

The fourth proportional to 12,192.46, 18,280.49 and 5,174.01 is: 7,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.46 : 18,280.49 = 5,174.01 : x
  2. Step 2: Convert to fraction form
    12,192.46/18,280.49 = 5,174.01/x
  3. Step 3: Cross multiply
    12,192.46x = 18,280.49 × 5,174.01
  4. Step 4: Simplify right side
    12,192.46x = 94,583,412.19
  5. Step 5: Solve for x
    x = 94,583,412.19/12,192.46
  6. Step 6: Final answer
    x = 7,757.53

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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.