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Finding the Fourth Proportional to 2,745.99, 3,788.53 and 1,683.47

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Solution

The fourth proportional to 2,745.99, 3,788.53 and 1,683.47 is: 2,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.99 : 3,788.53 = 1,683.47 : x
  2. Step 2: Convert to fraction form
    2,745.99/3,788.53 = 1,683.47/x
  3. Step 3: Cross multiply
    2,745.99x = 3,788.53 × 1,683.47
  4. Step 4: Simplify right side
    2,745.99x = 6,377,876.60
  5. Step 5: Solve for x
    x = 6,377,876.60/2,745.99
  6. Step 6: Final answer
    x = 2,322.61

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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.