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Finding the Fourth Proportional to 28,827.69, 43,241.55 and 7,767.78

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Solution

The fourth proportional to 28,827.69, 43,241.55 and 7,767.78 is: 11,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,827.69 : 43,241.55 = 7,767.78 : x
  2. Step 2: Convert to fraction form
    28,827.69/43,241.55 = 7,767.78/x
  3. Step 3: Cross multiply
    28,827.69x = 43,241.55 × 7,767.78
  4. Step 4: Simplify right side
    28,827.69x = 335,890,847.26
  5. Step 5: Solve for x
    x = 335,890,847.26/28,827.69
  6. Step 6: Final answer
    x = 11,651.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.