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Finding the Fourth Proportional to 2,634.81, 3,952.91 and 785.94

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Solution

The fourth proportional to 2,634.81, 3,952.91 and 785.94 is: 1,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.81 : 3,952.91 = 785.94 : x
  2. Step 2: Convert to fraction form
    2,634.81/3,952.91 = 785.94/x
  3. Step 3: Cross multiply
    2,634.81x = 3,952.91 × 785.94
  4. Step 4: Simplify right side
    2,634.81x = 3,106,750.09
  5. Step 5: Solve for x
    x = 3,106,750.09/2,634.81
  6. Step 6: Final answer
    x = 1,179.12

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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.