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Finding the Fourth Proportional to 6,911.51, 9,537.90 and 3,767.90

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Solution

The fourth proportional to 6,911.51, 9,537.90 and 3,767.90 is: 5,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.51 : 9,537.90 = 3,767.90 : x
  2. Step 2: Convert to fraction form
    6,911.51/9,537.90 = 3,767.90/x
  3. Step 3: Cross multiply
    6,911.51x = 9,537.90 × 3,767.90
  4. Step 4: Simplify right side
    6,911.51x = 35,937,853.41
  5. Step 5: Solve for x
    x = 35,937,853.41/6,911.51
  6. Step 6: Final answer
    x = 5,199.71

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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.