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Finding the Fourth Proportional to 2,634.30, 3,951.66 and 785.38

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Solution

The fourth proportional to 2,634.30, 3,951.66 and 785.38 is: 1,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.30 : 3,951.66 = 785.38 : x
  2. Step 2: Convert to fraction form
    2,634.30/3,951.66 = 785.38/x
  3. Step 3: Cross multiply
    2,634.30x = 3,951.66 × 785.38
  4. Step 4: Simplify right side
    2,634.30x = 3,103,554.73
  5. Step 5: Solve for x
    x = 3,103,554.73/2,634.30
  6. Step 6: Final answer
    x = 1,178.13

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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.