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Finding the Fourth Proportional to 3,208.76, 4,815.66 and 1,648.70

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Solution

The fourth proportional to 3,208.76, 4,815.66 and 1,648.70 is: 2,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.76 : 4,815.66 = 1,648.70 : x
  2. Step 2: Convert to fraction form
    3,208.76/4,815.66 = 1,648.70/x
  3. Step 3: Cross multiply
    3,208.76x = 4,815.66 × 1,648.70
  4. Step 4: Simplify right side
    3,208.76x = 7,939,578.64
  5. Step 5: Solve for x
    x = 7,939,578.64/3,208.76
  6. Step 6: Final answer
    x = 2,474.34

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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.