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Finding the Fourth Proportional to 7,842.92, 11,770.86 and 3,229.16

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Solution

The fourth proportional to 7,842.92, 11,770.86 and 3,229.16 is: 4,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.92 : 11,770.86 = 3,229.16 : x
  2. Step 2: Convert to fraction form
    7,842.92/11,770.86 = 3,229.16/x
  3. Step 3: Cross multiply
    7,842.92x = 11,770.86 × 3,229.16
  4. Step 4: Simplify right side
    7,842.92x = 38,009,990.28
  5. Step 5: Solve for x
    x = 38,009,990.28/7,842.92
  6. Step 6: Final answer
    x = 4,846.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.