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Finding the Fourth Proportional to 19,408, 26,785.20 and 11,956

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Solution

The fourth proportional to 19,408, 26,785.20 and 11,956 is: 16,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 26,785.20 = 11,956 : x
  2. Step 2: Convert to fraction form
    19,408/26,785.20 = 11,956/x
  3. Step 3: Cross multiply
    19,408x = 26,785.20 × 11,956
  4. Step 4: Simplify right side
    19,408x = 320,243,851.20
  5. Step 5: Solve for x
    x = 320,243,851.20/19,408
  6. Step 6: Final answer
    x = 16,500.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.