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Finding the Fourth Proportional to 2,138.76, 2,954.52 and 1,980

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Solution

The fourth proportional to 2,138.76, 2,954.52 and 1,980 is: 2,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 2,954.52 = 1,980 : x
  2. Step 2: Convert to fraction form
    2,138.76/2,954.52 = 1,980/x
  3. Step 3: Cross multiply
    2,138.76x = 2,954.52 × 1,980
  4. Step 4: Simplify right side
    2,138.76x = 5,849,949.60
  5. Step 5: Solve for x
    x = 5,849,949.60/2,138.76
  6. Step 6: Final answer
    x = 2,735.21

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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.