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Finding the Fourth Proportional to 13,832.64, 20,731.14 and 5,057.10

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Solution

The fourth proportional to 13,832.64, 20,731.14 and 5,057.10 is: 7,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.64 : 20,731.14 = 5,057.10 : x
  2. Step 2: Convert to fraction form
    13,832.64/20,731.14 = 5,057.10/x
  3. Step 3: Cross multiply
    13,832.64x = 20,731.14 × 5,057.10
  4. Step 4: Simplify right side
    13,832.64x = 104,839,448.09
  5. Step 5: Solve for x
    x = 104,839,448.09/13,832.64
  6. Step 6: Final answer
    x = 7,579.14

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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.