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Finding the Fourth Proportional to 2,106.51, 3,174.03 and 1,749.30

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Solution

The fourth proportional to 2,106.51, 3,174.03 and 1,749.30 is: 2,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.51 : 3,174.03 = 1,749.30 : x
  2. Step 2: Convert to fraction form
    2,106.51/3,174.03 = 1,749.30/x
  3. Step 3: Cross multiply
    2,106.51x = 3,174.03 × 1,749.30
  4. Step 4: Simplify right side
    2,106.51x = 5,552,330.68
  5. Step 5: Solve for x
    x = 5,552,330.68/2,106.51
  6. Step 6: Final answer
    x = 2,635.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.