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Finding the Fourth Proportional to 13,644.01, 20,473.88 and 5,745.91

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Solution

The fourth proportional to 13,644.01, 20,473.88 and 5,745.91 is: 8,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.01 : 20,473.88 = 5,745.91 : x
  2. Step 2: Convert to fraction form
    13,644.01/20,473.88 = 5,745.91/x
  3. Step 3: Cross multiply
    13,644.01x = 20,473.88 × 5,745.91
  4. Step 4: Simplify right side
    13,644.01x = 117,641,071.83
  5. Step 5: Solve for x
    x = 117,641,071.83/13,644.01
  6. Step 6: Final answer
    x = 8,622.18

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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.