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Finding the Fourth Proportional to 11,751.78, 16,217.76 and 6,646.88

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Solution

The fourth proportional to 11,751.78, 16,217.76 and 6,646.88 is: 9,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.78 : 16,217.76 = 6,646.88 : x
  2. Step 2: Convert to fraction form
    11,751.78/16,217.76 = 6,646.88/x
  3. Step 3: Cross multiply
    11,751.78x = 16,217.76 × 6,646.88
  4. Step 4: Simplify right side
    11,751.78x = 107,797,447.43
  5. Step 5: Solve for x
    x = 107,797,447.43/11,751.78
  6. Step 6: Final answer
    x = 9,172.86

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1.5x scale

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.