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Finding the Fourth Proportional to 6,912.86, 9,539.73 and 3,928.68

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Solution

The fourth proportional to 6,912.86, 9,539.73 and 3,928.68 is: 5,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.86 : 9,539.73 = 3,928.68 : x
  2. Step 2: Convert to fraction form
    6,912.86/9,539.73 = 3,928.68/x
  3. Step 3: Cross multiply
    6,912.86x = 9,539.73 × 3,928.68
  4. Step 4: Simplify right side
    6,912.86x = 37,478,546.46
  5. Step 5: Solve for x
    x = 37,478,546.46/6,912.86
  6. Step 6: Final answer
    x = 5,421.57

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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.