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Finding the Fourth Proportional to 12,846.54, 17,727.39 and 7,257.90

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Solution

The fourth proportional to 12,846.54, 17,727.39 and 7,257.90 is: 10,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.54 : 17,727.39 = 7,257.90 : x
  2. Step 2: Convert to fraction form
    12,846.54/17,727.39 = 7,257.90/x
  3. Step 3: Cross multiply
    12,846.54x = 17,727.39 × 7,257.90
  4. Step 4: Simplify right side
    12,846.54x = 128,663,623.88
  5. Step 5: Solve for x
    x = 128,663,623.88/12,846.54
  6. Step 6: Final answer
    x = 10,015.43

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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.