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Finding the Fourth Proportional to 6,911.88, 9,538.83 and 3,926.58

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Solution

The fourth proportional to 6,911.88, 9,538.83 and 3,926.58 is: 5,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.88 : 9,538.83 = 3,926.58 : x
  2. Step 2: Convert to fraction form
    6,911.88/9,538.83 = 3,926.58/x
  3. Step 3: Cross multiply
    6,911.88x = 9,538.83 × 3,926.58
  4. Step 4: Simplify right side
    6,911.88x = 37,454,979.10
  5. Step 5: Solve for x
    x = 37,454,979.10/6,911.88
  6. Step 6: Final answer
    x = 5,418.93

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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.