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Finding the Fourth Proportional to 11,954.79, 17,928.54 and 3,188.57

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Solution

The fourth proportional to 11,954.79, 17,928.54 and 3,188.57 is: 4,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.79 : 17,928.54 = 3,188.57 : x
  2. Step 2: Convert to fraction form
    11,954.79/17,928.54 = 3,188.57/x
  3. Step 3: Cross multiply
    11,954.79x = 17,928.54 × 3,188.57
  4. Step 4: Simplify right side
    11,954.79x = 57,166,315.15
  5. Step 5: Solve for x
    x = 57,166,315.15/11,954.79
  6. Step 6: Final answer
    x = 4,781.88

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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.