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Finding the Fourth Proportional to 12,787.78, 17,645.88 and 7,481.56

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Solution

The fourth proportional to 12,787.78, 17,645.88 and 7,481.56 is: 10,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.78 : 17,645.88 = 7,481.56 : x
  2. Step 2: Convert to fraction form
    12,787.78/17,645.88 = 7,481.56/x
  3. Step 3: Cross multiply
    12,787.78x = 17,645.88 × 7,481.56
  4. Step 4: Simplify right side
    12,787.78x = 132,018,709.97
  5. Step 5: Solve for x
    x = 132,018,709.97/12,787.78
  6. Step 6: Final answer
    x = 10,323.82

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1.5x scale

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.