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Finding the Fourth Proportional to 3,634.54, 5,451 and 1,685.68

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Solution

The fourth proportional to 3,634.54, 5,451 and 1,685.68 is: 2,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.54 : 5,451 = 1,685.68 : x
  2. Step 2: Convert to fraction form
    3,634.54/5,451 = 1,685.68/x
  3. Step 3: Cross multiply
    3,634.54x = 5,451 × 1,685.68
  4. Step 4: Simplify right side
    3,634.54x = 9,188,641.68
  5. Step 5: Solve for x
    x = 9,188,641.68/3,634.54
  6. Step 6: Final answer
    x = 2,528.14

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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.