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Finding the Fourth Proportional to 8,533.55, 11,781.75 and 8,119.24

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Solution

The fourth proportional to 8,533.55, 11,781.75 and 8,119.24 is: 11,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.55 : 11,781.75 = 8,119.24 : x
  2. Step 2: Convert to fraction form
    8,533.55/11,781.75 = 8,119.24/x
  3. Step 3: Cross multiply
    8,533.55x = 11,781.75 × 8,119.24
  4. Step 4: Simplify right side
    8,533.55x = 95,658,796.96
  5. Step 5: Solve for x
    x = 95,658,796.96/8,533.55
  6. Step 6: Final answer
    x = 11,209.73

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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.