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Finding the Fourth Proportional to 8,505.10, 11,663.81 and 8,150.32

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Solution

The fourth proportional to 8,505.10, 11,663.81 and 8,150.32 is: 11,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.10 : 11,663.81 = 8,150.32 : x
  2. Step 2: Convert to fraction form
    8,505.10/11,663.81 = 8,150.32/x
  3. Step 3: Cross multiply
    8,505.10x = 11,663.81 × 8,150.32
  4. Step 4: Simplify right side
    8,505.10x = 95,063,783.92
  5. Step 5: Solve for x
    x = 95,063,783.92/8,505.10
  6. Step 6: Final answer
    x = 11,177.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.