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Finding the Fourth Proportional to 21,857, 32,785.52 and 5,441

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Solution

The fourth proportional to 21,857, 32,785.52 and 5,441 is: 8,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857 : 32,785.52 = 5,441 : x
  2. Step 2: Convert to fraction form
    21,857/32,785.52 = 5,441/x
  3. Step 3: Cross multiply
    21,857x = 32,785.52 × 5,441
  4. Step 4: Simplify right side
    21,857x = 178,386,014.32
  5. Step 5: Solve for x
    x = 178,386,014.32/21,857
  6. Step 6: Final answer
    x = 8,161.50

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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.