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Finding the Fourth Proportional to 13,622, 20,434.28 and 5,302.64

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Solution

The fourth proportional to 13,622, 20,434.28 and 5,302.64 is: 7,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622 : 20,434.28 = 5,302.64 : x
  2. Step 2: Convert to fraction form
    13,622/20,434.28 = 5,302.64/x
  3. Step 3: Cross multiply
    13,622x = 20,434.28 × 5,302.64
  4. Step 4: Simplify right side
    13,622x = 108,355,630.50
  5. Step 5: Solve for x
    x = 108,355,630.50/13,622
  6. Step 6: Final answer
    x = 7,954.46

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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.