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Finding the Fourth Proportional to 2,451, 3,676.56 and 2,102.16

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Solution

The fourth proportional to 2,451, 3,676.56 and 2,102.16 is: 3,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 3,676.56 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    2,451/3,676.56 = 2,102.16/x
  3. Step 3: Cross multiply
    2,451x = 3,676.56 × 2,102.16
  4. Step 4: Simplify right side
    2,451x = 7,728,717.37
  5. Step 5: Solve for x
    x = 7,728,717.37/2,451
  6. Step 6: Final answer
    x = 3,153.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.