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Finding the Fourth Proportional to 2,961.70, 4,087.17 and 1,702.84

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Solution

The fourth proportional to 2,961.70, 4,087.17 and 1,702.84 is: 2,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.70 : 4,087.17 = 1,702.84 : x
  2. Step 2: Convert to fraction form
    2,961.70/4,087.17 = 1,702.84/x
  3. Step 3: Cross multiply
    2,961.70x = 4,087.17 × 1,702.84
  4. Step 4: Simplify right side
    2,961.70x = 6,959,796.56
  5. Step 5: Solve for x
    x = 6,959,796.56/2,961.70
  6. Step 6: Final answer
    x = 2,349.93

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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.