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Finding the Fourth Proportional to 7,762.80, 11,636.88 and 3,863.52

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Solution

The fourth proportional to 7,762.80, 11,636.88 and 3,863.52 is: 5,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.80 : 11,636.88 = 3,863.52 : x
  2. Step 2: Convert to fraction form
    7,762.80/11,636.88 = 3,863.52/x
  3. Step 3: Cross multiply
    7,762.80x = 11,636.88 × 3,863.52
  4. Step 4: Simplify right side
    7,762.80x = 44,959,318.62
  5. Step 5: Solve for x
    x = 44,959,318.62/7,762.80
  6. Step 6: Final answer
    x = 5,791.64

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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.