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Finding the Fourth Proportional to 2,843.70, 4,266.38 and 1,458

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Solution

The fourth proportional to 2,843.70, 4,266.38 and 1,458 is: 2,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.70 : 4,266.38 = 1,458 : x
  2. Step 2: Convert to fraction form
    2,843.70/4,266.38 = 1,458/x
  3. Step 3: Cross multiply
    2,843.70x = 4,266.38 × 1,458
  4. Step 4: Simplify right side
    2,843.70x = 6,220,382.04
  5. Step 5: Solve for x
    x = 6,220,382.04/2,843.70
  6. Step 6: Final answer
    x = 2,187.43

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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.