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Finding the Fourth Proportional to 4,946.72, 7,419.88 and 1,659.56

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Solution

The fourth proportional to 4,946.72, 7,419.88 and 1,659.56 is: 2,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.72 : 7,419.88 = 1,659.56 : x
  2. Step 2: Convert to fraction form
    4,946.72/7,419.88 = 1,659.56/x
  3. Step 3: Cross multiply
    4,946.72x = 7,419.88 × 1,659.56
  4. Step 4: Simplify right side
    4,946.72x = 12,313,736.05
  5. Step 5: Solve for x
    x = 12,313,736.05/4,946.72
  6. Step 6: Final answer
    x = 2,489.27

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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.