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Finding the Fourth Proportional to 2,794.86, 3,857.13 and 1,615.95

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Solution

The fourth proportional to 2,794.86, 3,857.13 and 1,615.95 is: 2,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.86 : 3,857.13 = 1,615.95 : x
  2. Step 2: Convert to fraction form
    2,794.86/3,857.13 = 1,615.95/x
  3. Step 3: Cross multiply
    2,794.86x = 3,857.13 × 1,615.95
  4. Step 4: Simplify right side
    2,794.86x = 6,232,929.22
  5. Step 5: Solve for x
    x = 6,232,929.22/2,794.86
  6. Step 6: Final answer
    x = 2,230.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.