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Finding the Fourth Proportional to 1,696.81, 2,556.78 and 1,395.42

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Solution

The fourth proportional to 1,696.81, 2,556.78 and 1,395.42 is: 2,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.81 : 2,556.78 = 1,395.42 : x
  2. Step 2: Convert to fraction form
    1,696.81/2,556.78 = 1,395.42/x
  3. Step 3: Cross multiply
    1,696.81x = 2,556.78 × 1,395.42
  4. Step 4: Simplify right side
    1,696.81x = 3,567,781.95
  5. Step 5: Solve for x
    x = 3,567,781.95/1,696.81
  6. Step 6: Final answer
    x = 2,102.64

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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.