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Finding the Fourth Proportional to 1,991.32, 2,746.37 and 1,671.03

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Solution

The fourth proportional to 1,991.32, 2,746.37 and 1,671.03 is: 2,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.32 : 2,746.37 = 1,671.03 : x
  2. Step 2: Convert to fraction form
    1,991.32/2,746.37 = 1,671.03/x
  3. Step 3: Cross multiply
    1,991.32x = 2,746.37 × 1,671.03
  4. Step 4: Simplify right side
    1,991.32x = 4,589,270.84
  5. Step 5: Solve for x
    x = 4,589,270.84/1,991.32
  6. Step 6: Final answer
    x = 2,304.64

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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.