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Finding the Fourth Proportional to 9,244.10, 13,864.80 and 3,399.42

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Solution

The fourth proportional to 9,244.10, 13,864.80 and 3,399.42 is: 5,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.10 : 13,864.80 = 3,399.42 : x
  2. Step 2: Convert to fraction form
    9,244.10/13,864.80 = 3,399.42/x
  3. Step 3: Cross multiply
    9,244.10x = 13,864.80 × 3,399.42
  4. Step 4: Simplify right side
    9,244.10x = 47,132,278.42
  5. Step 5: Solve for x
    x = 47,132,278.42/9,244.10
  6. Step 6: Final answer
    x = 5,098.63

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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.