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Finding the Fourth Proportional to 12,965.54, 17,892.29 and 7,660.24

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Solution

The fourth proportional to 12,965.54, 17,892.29 and 7,660.24 is: 10,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.54 : 17,892.29 = 7,660.24 : x
  2. Step 2: Convert to fraction form
    12,965.54/17,892.29 = 7,660.24/x
  3. Step 3: Cross multiply
    12,965.54x = 17,892.29 × 7,660.24
  4. Step 4: Simplify right side
    12,965.54x = 137,059,209.97
  5. Step 5: Solve for x
    x = 137,059,209.97/12,965.54
  6. Step 6: Final answer
    x = 10,571.04

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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.