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Finding the Fourth Proportional to 1,999.89, 2,759.67 and 1,860.57

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Solution

The fourth proportional to 1,999.89, 2,759.67 and 1,860.57 is: 2,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.89 : 2,759.67 = 1,860.57 : x
  2. Step 2: Convert to fraction form
    1,999.89/2,759.67 = 1,860.57/x
  3. Step 3: Cross multiply
    1,999.89x = 2,759.67 × 1,860.57
  4. Step 4: Simplify right side
    1,999.89x = 5,134,559.21
  5. Step 5: Solve for x
    x = 5,134,559.21/1,999.89
  6. Step 6: Final answer
    x = 2,567.42

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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.