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Finding the Fourth Proportional to 12,846, 17,728.92 and 7,257.36

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Solution

The fourth proportional to 12,846, 17,728.92 and 7,257.36 is: 10,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846 : 17,728.92 = 7,257.36 : x
  2. Step 2: Convert to fraction form
    12,846/17,728.92 = 7,257.36/x
  3. Step 3: Cross multiply
    12,846x = 17,728.92 × 7,257.36
  4. Step 4: Simplify right side
    12,846x = 128,665,154.85
  5. Step 5: Solve for x
    x = 128,665,154.85/12,846
  6. Step 6: Final answer
    x = 10,015.97

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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.