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Finding the Fourth Proportional to 11,771.56, 17,657.34 and 4,375.86

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Solution

The fourth proportional to 11,771.56, 17,657.34 and 4,375.86 is: 6,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.56 : 17,657.34 = 4,375.86 : x
  2. Step 2: Convert to fraction form
    11,771.56/17,657.34 = 4,375.86/x
  3. Step 3: Cross multiply
    11,771.56x = 17,657.34 × 4,375.86
  4. Step 4: Simplify right side
    11,771.56x = 77,266,047.81
  5. Step 5: Solve for x
    x = 77,266,047.81/11,771.56
  6. Step 6: Final answer
    x = 6,563.79

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1.5x scale

Why These Related Problems?

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