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Finding the Fourth Proportional to 2,682.90, 3,702.42 and 1,503.99

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Solution

The fourth proportional to 2,682.90, 3,702.42 and 1,503.99 is: 2,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.90 : 3,702.42 = 1,503.99 : x
  2. Step 2: Convert to fraction form
    2,682.90/3,702.42 = 1,503.99/x
  3. Step 3: Cross multiply
    2,682.90x = 3,702.42 × 1,503.99
  4. Step 4: Simplify right side
    2,682.90x = 5,568,402.66
  5. Step 5: Solve for x
    x = 5,568,402.66/2,682.90
  6. Step 6: Final answer
    x = 2,075.52

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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.