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Finding the Fourth Proportional to 7,807.75, 11,704.67 and 2,876.20

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Solution

The fourth proportional to 7,807.75, 11,704.67 and 2,876.20 is: 4,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.75 : 11,704.67 = 2,876.20 : x
  2. Step 2: Convert to fraction form
    7,807.75/11,704.67 = 2,876.20/x
  3. Step 3: Cross multiply
    7,807.75x = 11,704.67 × 2,876.20
  4. Step 4: Simplify right side
    7,807.75x = 33,664,971.85
  5. Step 5: Solve for x
    x = 33,664,971.85/7,807.75
  6. Step 6: Final answer
    x = 4,311.74

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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.