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Finding the Fourth Proportional to 7,811.26, 11,702.17 and 3,857.89

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Solution

The fourth proportional to 7,811.26, 11,702.17 and 3,857.89 is: 5,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.26 : 11,702.17 = 3,857.89 : x
  2. Step 2: Convert to fraction form
    7,811.26/11,702.17 = 3,857.89/x
  3. Step 3: Cross multiply
    7,811.26x = 11,702.17 × 3,857.89
  4. Step 4: Simplify right side
    7,811.26x = 45,145,626.11
  5. Step 5: Solve for x
    x = 45,145,626.11/7,811.26
  6. Step 6: Final answer
    x = 5,779.56

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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.