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Finding the Fourth Proportional to 3,546, 4,893.57 and 1,974.06

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Solution

The fourth proportional to 3,546, 4,893.57 and 1,974.06 is: 2,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 4,893.57 = 1,974.06 : x
  2. Step 2: Convert to fraction form
    3,546/4,893.57 = 1,974.06/x
  3. Step 3: Cross multiply
    3,546x = 4,893.57 × 1,974.06
  4. Step 4: Simplify right side
    3,546x = 9,660,200.79
  5. Step 5: Solve for x
    x = 9,660,200.79/3,546
  6. Step 6: Final answer
    x = 2,724.25

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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.