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Finding the Fourth Proportional to 7,885.62, 11,822.02 and 3,207.82

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Solution

The fourth proportional to 7,885.62, 11,822.02 and 3,207.82 is: 4,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.62 : 11,822.02 = 3,207.82 : x
  2. Step 2: Convert to fraction form
    7,885.62/11,822.02 = 3,207.82/x
  3. Step 3: Cross multiply
    7,885.62x = 11,822.02 × 3,207.82
  4. Step 4: Simplify right side
    7,885.62x = 37,922,912.20
  5. Step 5: Solve for x
    x = 37,922,912.20/7,885.62
  6. Step 6: Final answer
    x = 4,809.12

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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.