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Finding the Fourth Proportional to 4,083.80, 6,128.80 and 2,991

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Solution

The fourth proportional to 4,083.80, 6,128.80 and 2,991 is: 4,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.80 : 6,128.80 = 2,991 : x
  2. Step 2: Convert to fraction form
    4,083.80/6,128.80 = 2,991/x
  3. Step 3: Cross multiply
    4,083.80x = 6,128.80 × 2,991
  4. Step 4: Simplify right side
    4,083.80x = 18,331,240.80
  5. Step 5: Solve for x
    x = 18,331,240.80/4,083.80
  6. Step 6: Final answer
    x = 4,488.77

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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.