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Finding the Fourth Proportional to 8,950.50, 12,351.69 and 5,416.47

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Solution

The fourth proportional to 8,950.50, 12,351.69 and 5,416.47 is: 7,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950.50 : 12,351.69 = 5,416.47 : x
  2. Step 2: Convert to fraction form
    8,950.50/12,351.69 = 5,416.47/x
  3. Step 3: Cross multiply
    8,950.50x = 12,351.69 × 5,416.47
  4. Step 4: Simplify right side
    8,950.50x = 66,902,558.33
  5. Step 5: Solve for x
    x = 66,902,558.33/8,950.50
  6. Step 6: Final answer
    x = 7,474.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.