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Finding the Fourth Proportional to 2,001.75, 2,762.73 and 1,162.80

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Solution

The fourth proportional to 2,001.75, 2,762.73 and 1,162.80 is: 1,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.75 : 2,762.73 = 1,162.80 : x
  2. Step 2: Convert to fraction form
    2,001.75/2,762.73 = 1,162.80/x
  3. Step 3: Cross multiply
    2,001.75x = 2,762.73 × 1,162.80
  4. Step 4: Simplify right side
    2,001.75x = 3,212,502.44
  5. Step 5: Solve for x
    x = 3,212,502.44/2,001.75
  6. Step 6: Final answer
    x = 1,604.85

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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.