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Finding the Fourth Proportional to 11,214.74, 16,824.74 and 6,287.78

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Solution

The fourth proportional to 11,214.74, 16,824.74 and 6,287.78 is: 9,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.74 : 16,824.74 = 6,287.78 : x
  2. Step 2: Convert to fraction form
    11,214.74/16,824.74 = 6,287.78/x
  3. Step 3: Cross multiply
    11,214.74x = 16,824.74 × 6,287.78
  4. Step 4: Simplify right side
    11,214.74x = 105,790,148.11
  5. Step 5: Solve for x
    x = 105,790,148.11/11,214.74
  6. Step 6: Final answer
    x = 9,433.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.