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Finding the Fourth Proportional to 3,134.94, 4,702.41 and 826.78

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Solution

The fourth proportional to 3,134.94, 4,702.41 and 826.78 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.94 : 4,702.41 = 826.78 : x
  2. Step 2: Convert to fraction form
    3,134.94/4,702.41 = 826.78/x
  3. Step 3: Cross multiply
    3,134.94x = 4,702.41 × 826.78
  4. Step 4: Simplify right side
    3,134.94x = 3,887,858.54
  5. Step 5: Solve for x
    x = 3,887,858.54/3,134.94
  6. Step 6: Final answer
    x = 1,240.17

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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.