Home / 13,822.64-20,738-4,462.44

Finding the Fourth Proportional to 13,822.64, 20,738 and 4,462.44

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Solution

The fourth proportional to 13,822.64, 20,738 and 4,462.44 is: 6,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.64 : 20,738 = 4,462.44 : x
  2. Step 2: Convert to fraction form
    13,822.64/20,738 = 4,462.44/x
  3. Step 3: Cross multiply
    13,822.64x = 20,738 × 4,462.44
  4. Step 4: Simplify right side
    13,822.64x = 92,542,080.72
  5. Step 5: Solve for x
    x = 92,542,080.72/13,822.64
  6. Step 6: Final answer
    x = 6,694.96

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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.