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Finding the Fourth Proportional to 19,840.49, 29,760.91 and 5,049.42

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Solution

The fourth proportional to 19,840.49, 29,760.91 and 5,049.42 is: 7,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.49 : 29,760.91 = 5,049.42 : x
  2. Step 2: Convert to fraction form
    19,840.49/29,760.91 = 5,049.42/x
  3. Step 3: Cross multiply
    19,840.49x = 29,760.91 × 5,049.42
  4. Step 4: Simplify right side
    19,840.49x = 150,275,321.55
  5. Step 5: Solve for x
    x = 150,275,321.55/19,840.49
  6. Step 6: Final answer
    x = 7,574.18

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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.