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Finding the Fourth Proportional to 11,872.96, 17,815.44 and 8,178.24

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Solution

The fourth proportional to 11,872.96, 17,815.44 and 8,178.24 is: 12,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.96 : 17,815.44 = 8,178.24 : x
  2. Step 2: Convert to fraction form
    11,872.96/17,815.44 = 8,178.24/x
  3. Step 3: Cross multiply
    11,872.96x = 17,815.44 × 8,178.24
  4. Step 4: Simplify right side
    11,872.96x = 145,698,944.03
  5. Step 5: Solve for x
    x = 145,698,944.03/11,872.96
  6. Step 6: Final answer
    x = 12,271.49

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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.