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Finding the Fourth Proportional to 3,288.66, 4,930.16 and 1,645.98

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Solution

The fourth proportional to 3,288.66, 4,930.16 and 1,645.98 is: 2,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.66 : 4,930.16 = 1,645.98 : x
  2. Step 2: Convert to fraction form
    3,288.66/4,930.16 = 1,645.98/x
  3. Step 3: Cross multiply
    3,288.66x = 4,930.16 × 1,645.98
  4. Step 4: Simplify right side
    3,288.66x = 8,114,936.53
  5. Step 5: Solve for x
    x = 8,114,936.53/3,288.66
  6. Step 6: Final answer
    x = 2,467.55

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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.