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Finding the Fourth Proportional to 7,960.91, 11,942.12 and 3,281.23

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Solution

The fourth proportional to 7,960.91, 11,942.12 and 3,281.23 is: 4,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.91 : 11,942.12 = 3,281.23 : x
  2. Step 2: Convert to fraction form
    7,960.91/11,942.12 = 3,281.23/x
  3. Step 3: Cross multiply
    7,960.91x = 11,942.12 × 3,281.23
  4. Step 4: Simplify right side
    7,960.91x = 39,184,842.41
  5. Step 5: Solve for x
    x = 39,184,842.41/7,960.91
  6. Step 6: Final answer
    x = 4,922.16

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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.