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Finding the Fourth Proportional to 2,057, 3,085.66 and 841

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Solution

The fourth proportional to 2,057, 3,085.66 and 841 is: 1,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057 : 3,085.66 = 841 : x
  2. Step 2: Convert to fraction form
    2,057/3,085.66 = 841/x
  3. Step 3: Cross multiply
    2,057x = 3,085.66 × 841
  4. Step 4: Simplify right side
    2,057x = 2,595,040.06
  5. Step 5: Solve for x
    x = 2,595,040.06/2,057
  6. Step 6: Final answer
    x = 1,261.57

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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.