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Finding the Fourth Proportional to 6,911, 9,537.18 and 3,767.21

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Solution

The fourth proportional to 6,911, 9,537.18 and 3,767.21 is: 5,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911 : 9,537.18 = 3,767.21 : x
  2. Step 2: Convert to fraction form
    6,911/9,537.18 = 3,767.21/x
  3. Step 3: Cross multiply
    6,911x = 9,537.18 × 3,767.21
  4. Step 4: Simplify right side
    6,911x = 35,928,559.87
  5. Step 5: Solve for x
    x = 35,928,559.87/6,911
  6. Step 6: Final answer
    x = 5,198.75

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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.