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Finding the Fourth Proportional to 2,270, 3,132.60 and 1,443.44

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Solution

The fourth proportional to 2,270, 3,132.60 and 1,443.44 is: 1,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,132.60 = 1,443.44 : x
  2. Step 2: Convert to fraction form
    2,270/3,132.60 = 1,443.44/x
  3. Step 3: Cross multiply
    2,270x = 3,132.60 × 1,443.44
  4. Step 4: Simplify right side
    2,270x = 4,521,720.14
  5. Step 5: Solve for x
    x = 4,521,720.14/2,270
  6. Step 6: Final answer
    x = 1,991.95

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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.