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Finding the Fourth Proportional to 9,540.68, 13,167.77 and 5,561.75

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Solution

The fourth proportional to 9,540.68, 13,167.77 and 5,561.75 is: 7,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.68 : 13,167.77 = 5,561.75 : x
  2. Step 2: Convert to fraction form
    9,540.68/13,167.77 = 5,561.75/x
  3. Step 3: Cross multiply
    9,540.68x = 13,167.77 × 5,561.75
  4. Step 4: Simplify right side
    9,540.68x = 73,235,849.91
  5. Step 5: Solve for x
    x = 73,235,849.91/9,540.68
  6. Step 6: Final answer
    x = 7,676.17

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