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Finding the Fourth Proportional to 11,031.86, 15,198.22 and 7,668.83

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Solution

The fourth proportional to 11,031.86, 15,198.22 and 7,668.83 is: 10,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.86 : 15,198.22 = 7,668.83 : x
  2. Step 2: Convert to fraction form
    11,031.86/15,198.22 = 7,668.83/x
  3. Step 3: Cross multiply
    11,031.86x = 15,198.22 × 7,668.83
  4. Step 4: Simplify right side
    11,031.86x = 116,552,484.44
  5. Step 5: Solve for x
    x = 116,552,484.44/11,031.86
  6. Step 6: Final answer
    x = 10,565.08

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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.