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Finding the Fourth Proportional to 7,766.36, 11,584.36 and 7,129.52

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Solution

The fourth proportional to 7,766.36, 11,584.36 and 7,129.52 is: 10,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.36 : 11,584.36 = 7,129.52 : x
  2. Step 2: Convert to fraction form
    7,766.36/11,584.36 = 7,129.52/x
  3. Step 3: Cross multiply
    7,766.36x = 11,584.36 × 7,129.52
  4. Step 4: Simplify right side
    7,766.36x = 82,590,926.31
  5. Step 5: Solve for x
    x = 82,590,926.31/7,766.36
  6. Step 6: Final answer
    x = 10,634.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.