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Finding the Fourth Proportional to 3,099, 4,648.50 and 1,945.56

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Solution

The fourth proportional to 3,099, 4,648.50 and 1,945.56 is: 2,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099 : 4,648.50 = 1,945.56 : x
  2. Step 2: Convert to fraction form
    3,099/4,648.50 = 1,945.56/x
  3. Step 3: Cross multiply
    3,099x = 4,648.50 × 1,945.56
  4. Step 4: Simplify right side
    3,099x = 9,043,935.66
  5. Step 5: Solve for x
    x = 9,043,935.66/3,099
  6. Step 6: Final answer
    x = 2,918.34

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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.