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Finding the Fourth Proportional to 14,231.64, 21,344.20 and 3,844.20

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Solution

The fourth proportional to 14,231.64, 21,344.20 and 3,844.20 is: 5,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.64 : 21,344.20 = 3,844.20 : x
  2. Step 2: Convert to fraction form
    14,231.64/21,344.20 = 3,844.20/x
  3. Step 3: Cross multiply
    14,231.64x = 21,344.20 × 3,844.20
  4. Step 4: Simplify right side
    14,231.64x = 82,051,373.64
  5. Step 5: Solve for x
    x = 82,051,373.64/14,231.64
  6. Step 6: Final answer
    x = 5,765.42

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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.