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Finding the Fourth Proportional to 12,596.78, 18,892.64 and 11,972.30

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Solution

The fourth proportional to 12,596.78, 18,892.64 and 11,972.30 is: 17,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.78 : 18,892.64 = 11,972.30 : x
  2. Step 2: Convert to fraction form
    12,596.78/18,892.64 = 11,972.30/x
  3. Step 3: Cross multiply
    12,596.78x = 18,892.64 × 11,972.30
  4. Step 4: Simplify right side
    12,596.78x = 226,188,353.87
  5. Step 5: Solve for x
    x = 226,188,353.87/12,596.78
  6. Step 6: Final answer
    x = 17,956.05

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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.