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Finding the Fourth Proportional to 6,911.37, 9,538.80 and 3,928.17

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Solution

The fourth proportional to 6,911.37, 9,538.80 and 3,928.17 is: 5,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.37 : 9,538.80 = 3,928.17 : x
  2. Step 2: Convert to fraction form
    6,911.37/9,538.80 = 3,928.17/x
  3. Step 3: Cross multiply
    6,911.37x = 9,538.80 × 3,928.17
  4. Step 4: Simplify right side
    6,911.37x = 37,469,992.23
  5. Step 5: Solve for x
    x = 37,469,992.23/6,911.37
  6. Step 6: Final answer
    x = 5,421.50

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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.