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Finding the Fourth Proportional to 7,866.92, 11,803.22 and 3,968.40

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Solution

The fourth proportional to 7,866.92, 11,803.22 and 3,968.40 is: 5,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.92 : 11,803.22 = 3,968.40 : x
  2. Step 2: Convert to fraction form
    7,866.92/11,803.22 = 3,968.40/x
  3. Step 3: Cross multiply
    7,866.92x = 11,803.22 × 3,968.40
  4. Step 4: Simplify right side
    7,866.92x = 46,839,898.25
  5. Step 5: Solve for x
    x = 46,839,898.25/7,866.92
  6. Step 6: Final answer
    x = 5,954.03

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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.