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Finding the Fourth Proportional to 11,969.92, 17,954.94 and 4,178.76

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Solution

The fourth proportional to 11,969.92, 17,954.94 and 4,178.76 is: 6,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.92 : 17,954.94 = 4,178.76 : x
  2. Step 2: Convert to fraction form
    11,969.92/17,954.94 = 4,178.76/x
  3. Step 3: Cross multiply
    11,969.92x = 17,954.94 × 4,178.76
  4. Step 4: Simplify right side
    11,969.92x = 75,029,385.07
  5. Step 5: Solve for x
    x = 75,029,385.07/11,969.92
  6. Step 6: Final answer
    x = 6,268.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.