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Finding the Fourth Proportional to 2,888.98, 3,986.50 and 1,629.86

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Solution

The fourth proportional to 2,888.98, 3,986.50 and 1,629.86 is: 2,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.98 : 3,986.50 = 1,629.86 : x
  2. Step 2: Convert to fraction form
    2,888.98/3,986.50 = 1,629.86/x
  3. Step 3: Cross multiply
    2,888.98x = 3,986.50 × 1,629.86
  4. Step 4: Simplify right side
    2,888.98x = 6,497,436.89
  5. Step 5: Solve for x
    x = 6,497,436.89/2,888.98
  6. Step 6: Final answer
    x = 2,249.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.