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Finding the Fourth Proportional to 11,912.40, 17,868.78 and 8,213.64

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Solution

The fourth proportional to 11,912.40, 17,868.78 and 8,213.64 is: 12,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.40 : 17,868.78 = 8,213.64 : x
  2. Step 2: Convert to fraction form
    11,912.40/17,868.78 = 8,213.64/x
  3. Step 3: Cross multiply
    11,912.40x = 17,868.78 × 8,213.64
  4. Step 4: Simplify right side
    11,912.40x = 146,767,726.16
  5. Step 5: Solve for x
    x = 146,767,726.16/11,912.40
  6. Step 6: Final answer
    x = 12,320.58

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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.