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Finding the Fourth Proportional to 13,650.51, 20,474.15 and 8,031.54

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Solution

The fourth proportional to 13,650.51, 20,474.15 and 8,031.54 is: 12,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.51 : 20,474.15 = 8,031.54 : x
  2. Step 2: Convert to fraction form
    13,650.51/20,474.15 = 8,031.54/x
  3. Step 3: Cross multiply
    13,650.51x = 20,474.15 × 8,031.54
  4. Step 4: Simplify right side
    13,650.51x = 164,438,914.53
  5. Step 5: Solve for x
    x = 164,438,914.53/13,650.51
  6. Step 6: Final answer
    x = 12,046.36

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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.