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Finding the Fourth Proportional to 9,628.22, 13,286.94 and 5,436.38

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Solution

The fourth proportional to 9,628.22, 13,286.94 and 5,436.38 is: 7,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.22 : 13,286.94 = 5,436.38 : x
  2. Step 2: Convert to fraction form
    9,628.22/13,286.94 = 5,436.38/x
  3. Step 3: Cross multiply
    9,628.22x = 13,286.94 × 5,436.38
  4. Step 4: Simplify right side
    9,628.22x = 72,232,854.88
  5. Step 5: Solve for x
    x = 72,232,854.88/9,628.22
  6. Step 6: Final answer
    x = 7,502.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.