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Finding the Fourth Proportional to 3,890.63, 5,836.80 and 1,425.47

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Solution

The fourth proportional to 3,890.63, 5,836.80 and 1,425.47 is: 2,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.63 : 5,836.80 = 1,425.47 : x
  2. Step 2: Convert to fraction form
    3,890.63/5,836.80 = 1,425.47/x
  3. Step 3: Cross multiply
    3,890.63x = 5,836.80 × 1,425.47
  4. Step 4: Simplify right side
    3,890.63x = 8,320,146.98
  5. Step 5: Solve for x
    x = 8,320,146.98/3,890.63
  6. Step 6: Final answer
    x = 2,138.51

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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.