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Finding the Fourth Proportional to 1,343.43, 1,850.09 and 1,209.51

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Solution

The fourth proportional to 1,343.43, 1,850.09 and 1,209.51 is: 1,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.43 : 1,850.09 = 1,209.51 : x
  2. Step 2: Convert to fraction form
    1,343.43/1,850.09 = 1,209.51/x
  3. Step 3: Cross multiply
    1,343.43x = 1,850.09 × 1,209.51
  4. Step 4: Simplify right side
    1,343.43x = 2,237,702.36
  5. Step 5: Solve for x
    x = 2,237,702.36/1,343.43
  6. Step 6: Final answer
    x = 1,665.66

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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.