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Finding the Fourth Proportional to 6,911.67, 9,537.75 and 3,927.09

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Solution

The fourth proportional to 6,911.67, 9,537.75 and 3,927.09 is: 5,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.67 : 9,537.75 = 3,927.09 : x
  2. Step 2: Convert to fraction form
    6,911.67/9,537.75 = 3,927.09/x
  3. Step 3: Cross multiply
    6,911.67x = 9,537.75 × 3,927.09
  4. Step 4: Simplify right side
    6,911.67x = 37,455,638.41
  5. Step 5: Solve for x
    x = 37,455,638.41/6,911.67
  6. Step 6: Final answer
    x = 5,419.18

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1.5x scale

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.