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Finding the Fourth Proportional to 12,965.92, 17,895 and 8,251.76

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Solution

The fourth proportional to 12,965.92, 17,895 and 8,251.76 is: 11,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.92 : 17,895 = 8,251.76 : x
  2. Step 2: Convert to fraction form
    12,965.92/17,895 = 8,251.76/x
  3. Step 3: Cross multiply
    12,965.92x = 17,895 × 8,251.76
  4. Step 4: Simplify right side
    12,965.92x = 147,665,245.20
  5. Step 5: Solve for x
    x = 147,665,245.20/12,965.92
  6. Step 6: Final answer
    x = 11,388.72

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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.