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Finding the Fourth Proportional to 3,099.98, 4,650.64 and 1,638.78

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Solution

The fourth proportional to 3,099.98, 4,650.64 and 1,638.78 is: 2,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.98 : 4,650.64 = 1,638.78 : x
  2. Step 2: Convert to fraction form
    3,099.98/4,650.64 = 1,638.78/x
  3. Step 3: Cross multiply
    3,099.98x = 4,650.64 × 1,638.78
  4. Step 4: Simplify right side
    3,099.98x = 7,621,375.82
  5. Step 5: Solve for x
    x = 7,621,375.82/3,099.98
  6. Step 6: Final answer
    x = 2,458.52

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1.5x scale

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.