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Finding the Fourth Proportional to 12,956, 19,434 and 3,722.08

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Solution

The fourth proportional to 12,956, 19,434 and 3,722.08 is: 5,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956 : 19,434 = 3,722.08 : x
  2. Step 2: Convert to fraction form
    12,956/19,434 = 3,722.08/x
  3. Step 3: Cross multiply
    12,956x = 19,434 × 3,722.08
  4. Step 4: Simplify right side
    12,956x = 72,334,902.72
  5. Step 5: Solve for x
    x = 72,334,902.72/12,956
  6. Step 6: Final answer
    x = 5,583.12

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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.