Home / 13,422-20,137.28-5,628.72

Finding the Fourth Proportional to 13,422, 20,137.28 and 5,628.72

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Solution

The fourth proportional to 13,422, 20,137.28 and 5,628.72 is: 8,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422 : 20,137.28 = 5,628.72 : x
  2. Step 2: Convert to fraction form
    13,422/20,137.28 = 5,628.72/x
  3. Step 3: Cross multiply
    13,422x = 20,137.28 × 5,628.72
  4. Step 4: Simplify right side
    13,422x = 113,347,110.68
  5. Step 5: Solve for x
    x = 113,347,110.68/13,422
  6. Step 6: Final answer
    x = 8,444.87

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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.