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Finding the Fourth Proportional to 2,458.05, 3,682.29 and 1,965.49

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Solution

The fourth proportional to 2,458.05, 3,682.29 and 1,965.49 is: 2,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.05 : 3,682.29 = 1,965.49 : x
  2. Step 2: Convert to fraction form
    2,458.05/3,682.29 = 1,965.49/x
  3. Step 3: Cross multiply
    2,458.05x = 3,682.29 × 1,965.49
  4. Step 4: Simplify right side
    2,458.05x = 7,237,496.11
  5. Step 5: Solve for x
    x = 7,237,496.11/2,458.05
  6. Step 6: Final answer
    x = 2,944.41

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1.5x scale

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.