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Finding the Fourth Proportional to 1,393.54, 1,922.01 and 1,020.38

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Solution

The fourth proportional to 1,393.54, 1,922.01 and 1,020.38 is: 1,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.54 : 1,922.01 = 1,020.38 : x
  2. Step 2: Convert to fraction form
    1,393.54/1,922.01 = 1,020.38/x
  3. Step 3: Cross multiply
    1,393.54x = 1,922.01 × 1,020.38
  4. Step 4: Simplify right side
    1,393.54x = 1,961,187.92
  5. Step 5: Solve for x
    x = 1,961,187.92/1,393.54
  6. Step 6: Final answer
    x = 1,407.34

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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.