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Finding the Fourth Proportional to 3,788.61, 5,683.56 and 1,448.82

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Solution

The fourth proportional to 3,788.61, 5,683.56 and 1,448.82 is: 2,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.61 : 5,683.56 = 1,448.82 : x
  2. Step 2: Convert to fraction form
    3,788.61/5,683.56 = 1,448.82/x
  3. Step 3: Cross multiply
    3,788.61x = 5,683.56 × 1,448.82
  4. Step 4: Simplify right side
    3,788.61x = 8,234,455.40
  5. Step 5: Solve for x
    x = 8,234,455.40/3,788.61
  6. Step 6: Final answer
    x = 2,173.48

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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.