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Finding the Fourth Proportional to 9,561.38, 13,191 and 7,049.45

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Solution

The fourth proportional to 9,561.38, 13,191 and 7,049.45 is: 9,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.38 : 13,191 = 7,049.45 : x
  2. Step 2: Convert to fraction form
    9,561.38/13,191 = 7,049.45/x
  3. Step 3: Cross multiply
    9,561.38x = 13,191 × 7,049.45
  4. Step 4: Simplify right side
    9,561.38x = 92,989,229.00
  5. Step 5: Solve for x
    x = 92,989,229.00/9,561.38
  6. Step 6: Final answer
    x = 9,725.51

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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.