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Finding the Fourth Proportional to 21,838.78, 32,759.39 and 6,256

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Solution

The fourth proportional to 21,838.78, 32,759.39 and 6,256 is: 9,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.78 : 32,759.39 = 6,256 : x
  2. Step 2: Convert to fraction form
    21,838.78/32,759.39 = 6,256/x
  3. Step 3: Cross multiply
    21,838.78x = 32,759.39 × 6,256
  4. Step 4: Simplify right side
    21,838.78x = 204,942,743.84
  5. Step 5: Solve for x
    x = 204,942,743.84/21,838.78
  6. Step 6: Final answer
    x = 9,384.35

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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.