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Finding the Fourth Proportional to 21,383.81, 32,067.74 and 7,339.86

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Solution

The fourth proportional to 21,383.81, 32,067.74 and 7,339.86 is: 11,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.81 : 32,067.74 = 7,339.86 : x
  2. Step 2: Convert to fraction form
    21,383.81/32,067.74 = 7,339.86/x
  3. Step 3: Cross multiply
    21,383.81x = 32,067.74 × 7,339.86
  4. Step 4: Simplify right side
    21,383.81x = 235,372,722.12
  5. Step 5: Solve for x
    x = 235,372,722.12/21,383.81
  6. Step 6: Final answer
    x = 11,007.05

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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.