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Finding the Fourth Proportional to 11,887, 17,824.46 and 6,958.12

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Solution

The fourth proportional to 11,887, 17,824.46 and 6,958.12 is: 10,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887 : 17,824.46 = 6,958.12 : x
  2. Step 2: Convert to fraction form
    11,887/17,824.46 = 6,958.12/x
  3. Step 3: Cross multiply
    11,887x = 17,824.46 × 6,958.12
  4. Step 4: Simplify right side
    11,887x = 124,024,731.62
  5. Step 5: Solve for x
    x = 124,024,731.62/11,887
  6. Step 6: Final answer
    x = 10,433.64

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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.