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Finding the Fourth Proportional to 2,435.64, 3,653.68 and 791.76

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Solution

The fourth proportional to 2,435.64, 3,653.68 and 791.76 is: 1,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.64 : 3,653.68 = 791.76 : x
  2. Step 2: Convert to fraction form
    2,435.64/3,653.68 = 791.76/x
  3. Step 3: Cross multiply
    2,435.64x = 3,653.68 × 791.76
  4. Step 4: Simplify right side
    2,435.64x = 2,892,837.68
  5. Step 5: Solve for x
    x = 2,892,837.68/2,435.64
  6. Step 6: Final answer
    x = 1,187.71

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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.