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Finding the Fourth Proportional to 21,176, 31,757.60 and 6,383.68

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Solution

The fourth proportional to 21,176, 31,757.60 and 6,383.68 is: 9,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 31,757.60 = 6,383.68 : x
  2. Step 2: Convert to fraction form
    21,176/31,757.60 = 6,383.68/x
  3. Step 3: Cross multiply
    21,176x = 31,757.60 × 6,383.68
  4. Step 4: Simplify right side
    21,176x = 202,730,355.97
  5. Step 5: Solve for x
    x = 202,730,355.97/21,176
  6. Step 6: Final answer
    x = 9,573.59

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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.