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Finding the Fourth Proportional to 11,107.64, 16,668.66 and 6,178.52

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Solution

The fourth proportional to 11,107.64, 16,668.66 and 6,178.52 is: 9,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.64 : 16,668.66 = 6,178.52 : x
  2. Step 2: Convert to fraction form
    11,107.64/16,668.66 = 6,178.52/x
  3. Step 3: Cross multiply
    11,107.64x = 16,668.66 × 6,178.52
  4. Step 4: Simplify right side
    11,107.64x = 102,987,649.18
  5. Step 5: Solve for x
    x = 102,987,649.18/11,107.64
  6. Step 6: Final answer
    x = 9,271.78

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