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Finding the Fourth Proportional to 2,449, 3,673.56 and 2,100.16

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Solution

The fourth proportional to 2,449, 3,673.56 and 2,100.16 is: 3,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449 : 3,673.56 = 2,100.16 : x
  2. Step 2: Convert to fraction form
    2,449/3,673.56 = 2,100.16/x
  3. Step 3: Cross multiply
    2,449x = 3,673.56 × 2,100.16
  4. Step 4: Simplify right side
    2,449x = 7,715,063.77
  5. Step 5: Solve for x
    x = 7,715,063.77/2,449
  6. Step 6: Final answer
    x = 3,150.29

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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.