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Finding the Fourth Proportional to 7,878.56, 11,817.84 and 2,331.96

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Solution

The fourth proportional to 7,878.56, 11,817.84 and 2,331.96 is: 3,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.56 : 11,817.84 = 2,331.96 : x
  2. Step 2: Convert to fraction form
    7,878.56/11,817.84 = 2,331.96/x
  3. Step 3: Cross multiply
    7,878.56x = 11,817.84 × 2,331.96
  4. Step 4: Simplify right side
    7,878.56x = 27,558,730.17
  5. Step 5: Solve for x
    x = 27,558,730.17/7,878.56
  6. Step 6: Final answer
    x = 3,497.94

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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.