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Finding the Fourth Proportional to 13,463.42, 20,192.09 and 5,140.46

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Solution

The fourth proportional to 13,463.42, 20,192.09 and 5,140.46 is: 7,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.42 : 20,192.09 = 5,140.46 : x
  2. Step 2: Convert to fraction form
    13,463.42/20,192.09 = 5,140.46/x
  3. Step 3: Cross multiply
    13,463.42x = 20,192.09 × 5,140.46
  4. Step 4: Simplify right side
    13,463.42x = 103,796,655.74
  5. Step 5: Solve for x
    x = 103,796,655.74/13,463.42
  6. Step 6: Final answer
    x = 7,709.53

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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.