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Finding the Fourth Proportional to 7,843.46, 11,768.28 and 3,457.88

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Solution

The fourth proportional to 7,843.46, 11,768.28 and 3,457.88 is: 5,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.46 : 11,768.28 = 3,457.88 : x
  2. Step 2: Convert to fraction form
    7,843.46/11,768.28 = 3,457.88/x
  3. Step 3: Cross multiply
    7,843.46x = 11,768.28 × 3,457.88
  4. Step 4: Simplify right side
    7,843.46x = 40,693,300.05
  5. Step 5: Solve for x
    x = 40,693,300.05/7,843.46
  6. Step 6: Final answer
    x = 5,188.18

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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.