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Finding the Fourth Proportional to 2,374.82, 3,274.74 and 1,629.87

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Solution

The fourth proportional to 2,374.82, 3,274.74 and 1,629.87 is: 2,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.82 : 3,274.74 = 1,629.87 : x
  2. Step 2: Convert to fraction form
    2,374.82/3,274.74 = 1,629.87/x
  3. Step 3: Cross multiply
    2,374.82x = 3,274.74 × 1,629.87
  4. Step 4: Simplify right side
    2,374.82x = 5,337,400.48
  5. Step 5: Solve for x
    x = 5,337,400.48/2,374.82
  6. Step 6: Final answer
    x = 2,247.49

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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.