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Finding the Fourth Proportional to 7,763.21, 11,609.04 and 5,765.67

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Solution

The fourth proportional to 7,763.21, 11,609.04 and 5,765.67 is: 8,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.21 : 11,609.04 = 5,765.67 : x
  2. Step 2: Convert to fraction form
    7,763.21/11,609.04 = 5,765.67/x
  3. Step 3: Cross multiply
    7,763.21x = 11,609.04 × 5,765.67
  4. Step 4: Simplify right side
    7,763.21x = 66,933,893.66
  5. Step 5: Solve for x
    x = 66,933,893.66/7,763.21
  6. Step 6: Final answer
    x = 8,621.94

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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.