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Finding the Fourth Proportional to 2,858.49, 3,943.40 and 1,863.41

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Solution

The fourth proportional to 2,858.49, 3,943.40 and 1,863.41 is: 2,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.49 : 3,943.40 = 1,863.41 : x
  2. Step 2: Convert to fraction form
    2,858.49/3,943.40 = 1,863.41/x
  3. Step 3: Cross multiply
    2,858.49x = 3,943.40 × 1,863.41
  4. Step 4: Simplify right side
    2,858.49x = 7,348,141.96
  5. Step 5: Solve for x
    x = 7,348,141.96/2,858.49
  6. Step 6: Final answer
    x = 2,570.64

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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.