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Finding the Fourth Proportional to 2,682.50, 3,701.85 and 1,751

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Solution

The fourth proportional to 2,682.50, 3,701.85 and 1,751 is: 2,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.50 : 3,701.85 = 1,751 : x
  2. Step 2: Convert to fraction form
    2,682.50/3,701.85 = 1,751/x
  3. Step 3: Cross multiply
    2,682.50x = 3,701.85 × 1,751
  4. Step 4: Simplify right side
    2,682.50x = 6,481,939.35
  5. Step 5: Solve for x
    x = 6,481,939.35/2,682.50
  6. Step 6: Final answer
    x = 2,416.38

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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.