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Finding the Fourth Proportional to 3,093.84, 4,639.89 and 872.52

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Solution

The fourth proportional to 3,093.84, 4,639.89 and 872.52 is: 1,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.84 : 4,639.89 = 872.52 : x
  2. Step 2: Convert to fraction form
    3,093.84/4,639.89 = 872.52/x
  3. Step 3: Cross multiply
    3,093.84x = 4,639.89 × 872.52
  4. Step 4: Simplify right side
    3,093.84x = 4,048,396.82
  5. Step 5: Solve for x
    x = 4,048,396.82/3,093.84
  6. Step 6: Final answer
    x = 1,308.53

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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.