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Finding the Fourth Proportional to 3,099.63, 4,649.91 and 908.08

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Solution

The fourth proportional to 3,099.63, 4,649.91 and 908.08 is: 1,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.63 : 4,649.91 = 908.08 : x
  2. Step 2: Convert to fraction form
    3,099.63/4,649.91 = 908.08/x
  3. Step 3: Cross multiply
    3,099.63x = 4,649.91 × 908.08
  4. Step 4: Simplify right side
    3,099.63x = 4,222,475.24
  5. Step 5: Solve for x
    x = 4,222,475.24/3,099.63
  6. Step 6: Final answer
    x = 1,362.25

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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.