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Finding the Fourth Proportional to 6,911.76, 9,538.14 and 3,767.94

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Solution

The fourth proportional to 6,911.76, 9,538.14 and 3,767.94 is: 5,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.76 : 9,538.14 = 3,767.94 : x
  2. Step 2: Convert to fraction form
    6,911.76/9,538.14 = 3,767.94/x
  3. Step 3: Cross multiply
    6,911.76x = 9,538.14 × 3,767.94
  4. Step 4: Simplify right side
    6,911.76x = 35,939,139.23
  5. Step 5: Solve for x
    x = 35,939,139.23/6,911.76
  6. Step 6: Final answer
    x = 5,199.71

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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.