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Finding the Fourth Proportional to 2,682.78, 3,702.34 and 1,503.82

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Solution

The fourth proportional to 2,682.78, 3,702.34 and 1,503.82 is: 2,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.78 : 3,702.34 = 1,503.82 : x
  2. Step 2: Convert to fraction form
    2,682.78/3,702.34 = 1,503.82/x
  3. Step 3: Cross multiply
    2,682.78x = 3,702.34 × 1,503.82
  4. Step 4: Simplify right side
    2,682.78x = 5,567,652.94
  5. Step 5: Solve for x
    x = 5,567,652.94/2,682.78
  6. Step 6: Final answer
    x = 2,075.33

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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.