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Finding the Fourth Proportional to 3,894.78, 5,838.53 and 1,428.94

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Solution

The fourth proportional to 3,894.78, 5,838.53 and 1,428.94 is: 2,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.78 : 5,838.53 = 1,428.94 : x
  2. Step 2: Convert to fraction form
    3,894.78/5,838.53 = 1,428.94/x
  3. Step 3: Cross multiply
    3,894.78x = 5,838.53 × 1,428.94
  4. Step 4: Simplify right side
    3,894.78x = 8,342,917.25
  5. Step 5: Solve for x
    x = 8,342,917.25/3,894.78
  6. Step 6: Final answer
    x = 2,142.07

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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.