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Finding the Fourth Proportional to 1,389, 2,086.86 and 1,314.44

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Solution

The fourth proportional to 1,389, 2,086.86 and 1,314.44 is: 1,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389 : 2,086.86 = 1,314.44 : x
  2. Step 2: Convert to fraction form
    1,389/2,086.86 = 1,314.44/x
  3. Step 3: Cross multiply
    1,389x = 2,086.86 × 1,314.44
  4. Step 4: Simplify right side
    1,389x = 2,743,052.26
  5. Step 5: Solve for x
    x = 2,743,052.26/1,389
  6. Step 6: Final answer
    x = 1,974.84

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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.