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Finding the Fourth Proportional to 9,584.38, 13,235.16 and 7,222.42

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Solution

The fourth proportional to 9,584.38, 13,235.16 and 7,222.42 is: 9,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.38 : 13,235.16 = 7,222.42 : x
  2. Step 2: Convert to fraction form
    9,584.38/13,235.16 = 7,222.42/x
  3. Step 3: Cross multiply
    9,584.38x = 13,235.16 × 7,222.42
  4. Step 4: Simplify right side
    9,584.38x = 95,589,884.29
  5. Step 5: Solve for x
    x = 95,589,884.29/9,584.38
  6. Step 6: Final answer
    x = 9,973.51

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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.