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Finding the Fourth Proportional to 1,371.54, 1,888.73 and 1,192

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Solution

The fourth proportional to 1,371.54, 1,888.73 and 1,192 is: 1,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.54 : 1,888.73 = 1,192 : x
  2. Step 2: Convert to fraction form
    1,371.54/1,888.73 = 1,192/x
  3. Step 3: Cross multiply
    1,371.54x = 1,888.73 × 1,192
  4. Step 4: Simplify right side
    1,371.54x = 2,251,366.16
  5. Step 5: Solve for x
    x = 2,251,366.16/1,371.54
  6. Step 6: Final answer
    x = 1,641.49

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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.