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Finding the Fourth Proportional to 11,859.62, 17,784.21 and 6,311.65

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Solution

The fourth proportional to 11,859.62, 17,784.21 and 6,311.65 is: 9,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.62 : 17,784.21 = 6,311.65 : x
  2. Step 2: Convert to fraction form
    11,859.62/17,784.21 = 6,311.65/x
  3. Step 3: Cross multiply
    11,859.62x = 17,784.21 × 6,311.65
  4. Step 4: Simplify right side
    11,859.62x = 112,247,709.05
  5. Step 5: Solve for x
    x = 112,247,709.05/11,859.62
  6. Step 6: Final answer
    x = 9,464.70

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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.