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Finding the Fourth Proportional to 3,858.93, 5,788.31 and 1,085.58

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Solution

The fourth proportional to 3,858.93, 5,788.31 and 1,085.58 is: 1,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.93 : 5,788.31 = 1,085.58 : x
  2. Step 2: Convert to fraction form
    3,858.93/5,788.31 = 1,085.58/x
  3. Step 3: Cross multiply
    3,858.93x = 5,788.31 × 1,085.58
  4. Step 4: Simplify right side
    3,858.93x = 6,283,668.14
  5. Step 5: Solve for x
    x = 6,283,668.14/3,858.93
  6. Step 6: Final answer
    x = 1,628.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.