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Finding the Fourth Proportional to 2,772.94, 3,826.65 and 1,530.94

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Solution

The fourth proportional to 2,772.94, 3,826.65 and 1,530.94 is: 2,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.94 : 3,826.65 = 1,530.94 : x
  2. Step 2: Convert to fraction form
    2,772.94/3,826.65 = 1,530.94/x
  3. Step 3: Cross multiply
    2,772.94x = 3,826.65 × 1,530.94
  4. Step 4: Simplify right side
    2,772.94x = 5,858,371.55
  5. Step 5: Solve for x
    x = 5,858,371.55/2,772.94
  6. Step 6: Final answer
    x = 2,112.69

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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.