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Finding the Fourth Proportional to 12,043.64, 18,057.74 and 5,791.20

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Solution

The fourth proportional to 12,043.64, 18,057.74 and 5,791.20 is: 8,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.64 : 18,057.74 = 5,791.20 : x
  2. Step 2: Convert to fraction form
    12,043.64/18,057.74 = 5,791.20/x
  3. Step 3: Cross multiply
    12,043.64x = 18,057.74 × 5,791.20
  4. Step 4: Simplify right side
    12,043.64x = 104,575,983.89
  5. Step 5: Solve for x
    x = 104,575,983.89/12,043.64
  6. Step 6: Final answer
    x = 8,683.09

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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.