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Finding the Fourth Proportional to 1,238.54, 1,849.31 and 1,055.84

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Solution

The fourth proportional to 1,238.54, 1,849.31 and 1,055.84 is: 1,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.54 : 1,849.31 = 1,055.84 : x
  2. Step 2: Convert to fraction form
    1,238.54/1,849.31 = 1,055.84/x
  3. Step 3: Cross multiply
    1,238.54x = 1,849.31 × 1,055.84
  4. Step 4: Simplify right side
    1,238.54x = 1,952,564.90
  5. Step 5: Solve for x
    x = 1,952,564.90/1,238.54
  6. Step 6: Final answer
    x = 1,576.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.