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Finding the Fourth Proportional to 3,670.33, 5,064.97 and 1,991.74

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Solution

The fourth proportional to 3,670.33, 5,064.97 and 1,991.74 is: 2,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.33 : 5,064.97 = 1,991.74 : x
  2. Step 2: Convert to fraction form
    3,670.33/5,064.97 = 1,991.74/x
  3. Step 3: Cross multiply
    3,670.33x = 5,064.97 × 1,991.74
  4. Step 4: Simplify right side
    3,670.33x = 10,088,103.35
  5. Step 5: Solve for x
    x = 10,088,103.35/3,670.33
  6. Step 6: Final answer
    x = 2,748.55

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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.