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Finding the Fourth Proportional to 8,771.75, 12,104.66 and 5,189.03

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Solution

The fourth proportional to 8,771.75, 12,104.66 and 5,189.03 is: 7,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.75 : 12,104.66 = 5,189.03 : x
  2. Step 2: Convert to fraction form
    8,771.75/12,104.66 = 5,189.03/x
  3. Step 3: Cross multiply
    8,771.75x = 12,104.66 × 5,189.03
  4. Step 4: Simplify right side
    8,771.75x = 62,811,443.88
  5. Step 5: Solve for x
    x = 62,811,443.88/8,771.75
  6. Step 6: Final answer
    x = 7,160.65

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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.