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Finding the Fourth Proportional to 1,993, 2,750.34 and 1,165

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Solution

The fourth proportional to 1,993, 2,750.34 and 1,165 is: 1,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993 : 2,750.34 = 1,165 : x
  2. Step 2: Convert to fraction form
    1,993/2,750.34 = 1,165/x
  3. Step 3: Cross multiply
    1,993x = 2,750.34 × 1,165
  4. Step 4: Simplify right side
    1,993x = 3,204,146.10
  5. Step 5: Solve for x
    x = 3,204,146.10/1,993
  6. Step 6: Final answer
    x = 1,607.70

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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.