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Finding the Fourth Proportional to 12,906.95, 19,311.51 and 7,644.78

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Solution

The fourth proportional to 12,906.95, 19,311.51 and 7,644.78 is: 11,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.95 : 19,311.51 = 7,644.78 : x
  2. Step 2: Convert to fraction form
    12,906.95/19,311.51 = 7,644.78/x
  3. Step 3: Cross multiply
    12,906.95x = 19,311.51 × 7,644.78
  4. Step 4: Simplify right side
    12,906.95x = 147,632,245.42
  5. Step 5: Solve for x
    x = 147,632,245.42/12,906.95
  6. Step 6: Final answer
    x = 11,438.20

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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.