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Finding the Fourth Proportional to 3,133, 4,323.54 and 1,891

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Solution

The fourth proportional to 3,133, 4,323.54 and 1,891 is: 2,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 4,323.54 = 1,891 : x
  2. Step 2: Convert to fraction form
    3,133/4,323.54 = 1,891/x
  3. Step 3: Cross multiply
    3,133x = 4,323.54 × 1,891
  4. Step 4: Simplify right side
    3,133x = 8,175,814.14
  5. Step 5: Solve for x
    x = 8,175,814.14/3,133
  6. Step 6: Final answer
    x = 2,609.58

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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.