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Finding the Fourth Proportional to 3,788.52, 5,686.30 and 1,940.96

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Solution

The fourth proportional to 3,788.52, 5,686.30 and 1,940.96 is: 2,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.52 : 5,686.30 = 1,940.96 : x
  2. Step 2: Convert to fraction form
    3,788.52/5,686.30 = 1,940.96/x
  3. Step 3: Cross multiply
    3,788.52x = 5,686.30 × 1,940.96
  4. Step 4: Simplify right side
    3,788.52x = 11,036,880.85
  5. Step 5: Solve for x
    x = 11,036,880.85/3,788.52
  6. Step 6: Final answer
    x = 2,913.24

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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.