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Finding the Fourth Proportional to 8,668.61, 11,961.81 and 4,891.43

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Solution

The fourth proportional to 8,668.61, 11,961.81 and 4,891.43 is: 6,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.61 : 11,961.81 = 4,891.43 : x
  2. Step 2: Convert to fraction form
    8,668.61/11,961.81 = 4,891.43/x
  3. Step 3: Cross multiply
    8,668.61x = 11,961.81 × 4,891.43
  4. Step 4: Simplify right side
    8,668.61x = 58,510,356.29
  5. Step 5: Solve for x
    x = 58,510,356.29/8,668.61
  6. Step 6: Final answer
    x = 6,749.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.