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Finding the Fourth Proportional to 11,157.76, 16,739.48 and 7,877.26

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Solution

The fourth proportional to 11,157.76, 16,739.48 and 7,877.26 is: 11,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.76 : 16,739.48 = 7,877.26 : x
  2. Step 2: Convert to fraction form
    11,157.76/16,739.48 = 7,877.26/x
  3. Step 3: Cross multiply
    11,157.76x = 16,739.48 × 7,877.26
  4. Step 4: Simplify right side
    11,157.76x = 131,861,236.22
  5. Step 5: Solve for x
    x = 131,861,236.22/11,157.76
  6. Step 6: Final answer
    x = 11,817.90

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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.