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Finding the Fourth Proportional to 3,099.80, 4,650.38 and 908.54

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Solution

The fourth proportional to 3,099.80, 4,650.38 and 908.54 is: 1,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.80 : 4,650.38 = 908.54 : x
  2. Step 2: Convert to fraction form
    3,099.80/4,650.38 = 908.54/x
  3. Step 3: Cross multiply
    3,099.80x = 4,650.38 × 908.54
  4. Step 4: Simplify right side
    3,099.80x = 4,225,056.25
  5. Step 5: Solve for x
    x = 4,225,056.25/3,099.80
  6. Step 6: Final answer
    x = 1,363.01

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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.