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Finding the Fourth Proportional to 1,992.65, 2,749.50 and 1,153.44

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Solution

The fourth proportional to 1,992.65, 2,749.50 and 1,153.44 is: 1,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.65 : 2,749.50 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,992.65/2,749.50 = 1,153.44/x
  3. Step 3: Cross multiply
    1,992.65x = 2,749.50 × 1,153.44
  4. Step 4: Simplify right side
    1,992.65x = 3,171,383.28
  5. Step 5: Solve for x
    x = 3,171,383.28/1,992.65
  6. Step 6: Final answer
    x = 1,591.54

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1.5x scale

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.