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Finding the Fourth Proportional to 2,451, 3,385.26 and 1,663.68

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Solution

The fourth proportional to 2,451, 3,385.26 and 1,663.68 is: 2,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 3,385.26 = 1,663.68 : x
  2. Step 2: Convert to fraction form
    2,451/3,385.26 = 1,663.68/x
  3. Step 3: Cross multiply
    2,451x = 3,385.26 × 1,663.68
  4. Step 4: Simplify right side
    2,451x = 5,631,989.36
  5. Step 5: Solve for x
    x = 5,631,989.36/2,451
  6. Step 6: Final answer
    x = 2,297.83

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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.