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Finding the Fourth Proportional to 1,986, 2,740.68 and 1,287.38

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Solution

The fourth proportional to 1,986, 2,740.68 and 1,287.38 is: 1,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986 : 2,740.68 = 1,287.38 : x
  2. Step 2: Convert to fraction form
    1,986/2,740.68 = 1,287.38/x
  3. Step 3: Cross multiply
    1,986x = 2,740.68 × 1,287.38
  4. Step 4: Simplify right side
    1,986x = 3,528,282.92
  5. Step 5: Solve for x
    x = 3,528,282.92/1,986
  6. Step 6: Final answer
    x = 1,776.58

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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.