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Finding the Fourth Proportional to 9,199.86, 12,696.20 and 5,221.34

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Solution

The fourth proportional to 9,199.86, 12,696.20 and 5,221.34 is: 7,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.86 : 12,696.20 = 5,221.34 : x
  2. Step 2: Convert to fraction form
    9,199.86/12,696.20 = 5,221.34/x
  3. Step 3: Cross multiply
    9,199.86x = 12,696.20 × 5,221.34
  4. Step 4: Simplify right side
    9,199.86x = 66,291,225.93
  5. Step 5: Solve for x
    x = 66,291,225.93/9,199.86
  6. Step 6: Final answer
    x = 7,205.68

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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.