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Finding the Fourth Proportional to 2,634.63, 3,950.68 and 785.09

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Solution

The fourth proportional to 2,634.63, 3,950.68 and 785.09 is: 1,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.63 : 3,950.68 = 785.09 : x
  2. Step 2: Convert to fraction form
    2,634.63/3,950.68 = 785.09/x
  3. Step 3: Cross multiply
    2,634.63x = 3,950.68 × 785.09
  4. Step 4: Simplify right side
    2,634.63x = 3,101,639.36
  5. Step 5: Solve for x
    x = 3,101,639.36/2,634.63
  6. Step 6: Final answer
    x = 1,177.26

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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.