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Finding the Fourth Proportional to 1,986, 2,740.23 and 1,199.89

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Solution

The fourth proportional to 1,986, 2,740.23 and 1,199.89 is: 1,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986 : 2,740.23 = 1,199.89 : x
  2. Step 2: Convert to fraction form
    1,986/2,740.23 = 1,199.89/x
  3. Step 3: Cross multiply
    1,986x = 2,740.23 × 1,199.89
  4. Step 4: Simplify right side
    1,986x = 3,287,974.57
  5. Step 5: Solve for x
    x = 3,287,974.57/1,986
  6. Step 6: Final answer
    x = 1,655.58

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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.