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Finding the Fourth Proportional to 21,756, 30,021.84 and 12,801.76

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Solution

The fourth proportional to 21,756, 30,021.84 and 12,801.76 is: 17,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756 : 30,021.84 = 12,801.76 : x
  2. Step 2: Convert to fraction form
    21,756/30,021.84 = 12,801.76/x
  3. Step 3: Cross multiply
    21,756x = 30,021.84 × 12,801.76
  4. Step 4: Simplify right side
    21,756x = 384,332,390.44
  5. Step 5: Solve for x
    x = 384,332,390.44/21,756
  6. Step 6: Final answer
    x = 17,665.58

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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.