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Finding the Fourth Proportional to 2,634.56, 3,952.54 and 785.68

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Solution

The fourth proportional to 2,634.56, 3,952.54 and 785.68 is: 1,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.56 : 3,952.54 = 785.68 : x
  2. Step 2: Convert to fraction form
    2,634.56/3,952.54 = 785.68/x
  3. Step 3: Cross multiply
    2,634.56x = 3,952.54 × 785.68
  4. Step 4: Simplify right side
    2,634.56x = 3,105,431.63
  5. Step 5: Solve for x
    x = 3,105,431.63/2,634.56
  6. Step 6: Final answer
    x = 1,178.73

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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.