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Finding the Fourth Proportional to 3,788, 5,684.16 and 1,736

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Solution

The fourth proportional to 3,788, 5,684.16 and 1,736 is: 2,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788 : 5,684.16 = 1,736 : x
  2. Step 2: Convert to fraction form
    3,788/5,684.16 = 1,736/x
  3. Step 3: Cross multiply
    3,788x = 5,684.16 × 1,736
  4. Step 4: Simplify right side
    3,788x = 9,867,701.76
  5. Step 5: Solve for x
    x = 9,867,701.76/3,788
  6. Step 6: Final answer
    x = 2,604.99

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