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Finding the Fourth Proportional to 3,166.21, 4,746.07 and 1,219.78

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Solution

The fourth proportional to 3,166.21, 4,746.07 and 1,219.78 is: 1,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.21 : 4,746.07 = 1,219.78 : x
  2. Step 2: Convert to fraction form
    3,166.21/4,746.07 = 1,219.78/x
  3. Step 3: Cross multiply
    3,166.21x = 4,746.07 × 1,219.78
  4. Step 4: Simplify right side
    3,166.21x = 5,789,161.26
  5. Step 5: Solve for x
    x = 5,789,161.26/3,166.21
  6. Step 6: Final answer
    x = 1,828.42

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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.