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Finding the Fourth Proportional to 1,894.55, 2,843.60 and 1,165.55

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Solution

The fourth proportional to 1,894.55, 2,843.60 and 1,165.55 is: 1,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.55 : 2,843.60 = 1,165.55 : x
  2. Step 2: Convert to fraction form
    1,894.55/2,843.60 = 1,165.55/x
  3. Step 3: Cross multiply
    1,894.55x = 2,843.60 × 1,165.55
  4. Step 4: Simplify right side
    1,894.55x = 3,314,337.93
  5. Step 5: Solve for x
    x = 3,314,337.93/1,894.55
  6. Step 6: Final answer
    x = 1,749.41

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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.