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Finding the Fourth Proportional to 3,099.63, 4,650.28 and 908.34

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Solution

The fourth proportional to 3,099.63, 4,650.28 and 908.34 is: 1,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.63 : 4,650.28 = 908.34 : x
  2. Step 2: Convert to fraction form
    3,099.63/4,650.28 = 908.34/x
  3. Step 3: Cross multiply
    3,099.63x = 4,650.28 × 908.34
  4. Step 4: Simplify right side
    3,099.63x = 4,224,012.08
  5. Step 5: Solve for x
    x = 4,224,012.08/3,099.63
  6. Step 6: Final answer
    x = 1,362.75

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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.