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Finding the Fourth Proportional to 13,846.08, 20,772 and 6,052.80

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Solution

The fourth proportional to 13,846.08, 20,772 and 6,052.80 is: 9,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.08 : 20,772 = 6,052.80 : x
  2. Step 2: Convert to fraction form
    13,846.08/20,772 = 6,052.80/x
  3. Step 3: Cross multiply
    13,846.08x = 20,772 × 6,052.80
  4. Step 4: Simplify right side
    13,846.08x = 125,728,761.60
  5. Step 5: Solve for x
    x = 125,728,761.60/13,846.08
  6. Step 6: Final answer
    x = 9,080.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.