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Finding the Fourth Proportional to 3,078.66, 4,237.83 and 2,685

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Solution

The fourth proportional to 3,078.66, 4,237.83 and 2,685 is: 3,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.66 : 4,237.83 = 2,685 : x
  2. Step 2: Convert to fraction form
    3,078.66/4,237.83 = 2,685/x
  3. Step 3: Cross multiply
    3,078.66x = 4,237.83 × 2,685
  4. Step 4: Simplify right side
    3,078.66x = 11,378,573.55
  5. Step 5: Solve for x
    x = 11,378,573.55/3,078.66
  6. Step 6: Final answer
    x = 3,695.95

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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.