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Finding the Fourth Proportional to 3,894.24, 5,837.88 and 1,428.49

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Solution

The fourth proportional to 3,894.24, 5,837.88 and 1,428.49 is: 2,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.24 : 5,837.88 = 1,428.49 : x
  2. Step 2: Convert to fraction form
    3,894.24/5,837.88 = 1,428.49/x
  3. Step 3: Cross multiply
    3,894.24x = 5,837.88 × 1,428.49
  4. Step 4: Simplify right side
    3,894.24x = 8,339,333.02
  5. Step 5: Solve for x
    x = 8,339,333.02/3,894.24
  6. Step 6: Final answer
    x = 2,141.45

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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.