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Finding the Fourth Proportional to 8,589.32, 11,855.22 and 7,189.64

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Solution

The fourth proportional to 8,589.32, 11,855.22 and 7,189.64 is: 9,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.32 : 11,855.22 = 7,189.64 : x
  2. Step 2: Convert to fraction form
    8,589.32/11,855.22 = 7,189.64/x
  3. Step 3: Cross multiply
    8,589.32x = 11,855.22 × 7,189.64
  4. Step 4: Simplify right side
    8,589.32x = 85,234,763.92
  5. Step 5: Solve for x
    x = 85,234,763.92/8,589.32
  6. Step 6: Final answer
    x = 9,923.34

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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.