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Finding the Fourth Proportional to 1,233.97, 1,858.70 and 1,124.91

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Solution

The fourth proportional to 1,233.97, 1,858.70 and 1,124.91 is: 1,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.97 : 1,858.70 = 1,124.91 : x
  2. Step 2: Convert to fraction form
    1,233.97/1,858.70 = 1,124.91/x
  3. Step 3: Cross multiply
    1,233.97x = 1,858.70 × 1,124.91
  4. Step 4: Simplify right side
    1,233.97x = 2,090,873.03
  5. Step 5: Solve for x
    x = 2,090,873.03/1,233.97
  6. Step 6: Final answer
    x = 1,694.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.