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Finding the Fourth Proportional to 8,542.43, 11,783.19 and 5,516.36

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Solution

The fourth proportional to 8,542.43, 11,783.19 and 5,516.36 is: 7,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.43 : 11,783.19 = 5,516.36 : x
  2. Step 2: Convert to fraction form
    8,542.43/11,783.19 = 5,516.36/x
  3. Step 3: Cross multiply
    8,542.43x = 11,783.19 × 5,516.36
  4. Step 4: Simplify right side
    8,542.43x = 65,000,317.99
  5. Step 5: Solve for x
    x = 65,000,317.99/8,542.43
  6. Step 6: Final answer
    x = 7,609.11

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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.