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Finding the Fourth Proportional to 11,713.55, 16,164.72 and 6,408.38

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Solution

The fourth proportional to 11,713.55, 16,164.72 and 6,408.38 is: 8,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.55 : 16,164.72 = 6,408.38 : x
  2. Step 2: Convert to fraction form
    11,713.55/16,164.72 = 6,408.38/x
  3. Step 3: Cross multiply
    11,713.55x = 16,164.72 × 6,408.38
  4. Step 4: Simplify right side
    11,713.55x = 103,589,668.35
  5. Step 5: Solve for x
    x = 103,589,668.35/11,713.55
  6. Step 6: Final answer
    x = 8,843.58

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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.