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Finding the Fourth Proportional to 1,980.97, 2,969.43 and 1,431.79

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Solution

The fourth proportional to 1,980.97, 2,969.43 and 1,431.79 is: 2,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.97 : 2,969.43 = 1,431.79 : x
  2. Step 2: Convert to fraction form
    1,980.97/2,969.43 = 1,431.79/x
  3. Step 3: Cross multiply
    1,980.97x = 2,969.43 × 1,431.79
  4. Step 4: Simplify right side
    1,980.97x = 4,251,600.18
  5. Step 5: Solve for x
    x = 4,251,600.18/1,980.97
  6. Step 6: Final answer
    x = 2,146.22

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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.