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Finding the Fourth Proportional to 2,714.51, 3,744.56 and 1,828.78

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Solution

The fourth proportional to 2,714.51, 3,744.56 and 1,828.78 is: 2,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.51 : 3,744.56 = 1,828.78 : x
  2. Step 2: Convert to fraction form
    2,714.51/3,744.56 = 1,828.78/x
  3. Step 3: Cross multiply
    2,714.51x = 3,744.56 × 1,828.78
  4. Step 4: Simplify right side
    2,714.51x = 6,847,971.65
  5. Step 5: Solve for x
    x = 6,847,971.65/2,714.51
  6. Step 6: Final answer
    x = 2,522.73

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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.