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Finding the Fourth Proportional to 3,099.68, 4,648.44 and 908.36

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Solution

The fourth proportional to 3,099.68, 4,648.44 and 908.36 is: 1,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.68 : 4,648.44 = 908.36 : x
  2. Step 2: Convert to fraction form
    3,099.68/4,648.44 = 908.36/x
  3. Step 3: Cross multiply
    3,099.68x = 4,648.44 × 908.36
  4. Step 4: Simplify right side
    3,099.68x = 4,222,456.96
  5. Step 5: Solve for x
    x = 4,222,456.96/3,099.68
  6. Step 6: Final answer
    x = 1,362.22

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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.