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Finding the Fourth Proportional to 3,937.90, 5,434.34 and 2,169.51

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Solution

The fourth proportional to 3,937.90, 5,434.34 and 2,169.51 is: 2,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.90 : 5,434.34 = 2,169.51 : x
  2. Step 2: Convert to fraction form
    3,937.90/5,434.34 = 2,169.51/x
  3. Step 3: Cross multiply
    3,937.90x = 5,434.34 × 2,169.51
  4. Step 4: Simplify right side
    3,937.90x = 11,789,844.13
  5. Step 5: Solve for x
    x = 11,789,844.13/3,937.90
  6. Step 6: Final answer
    x = 2,993.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.