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Finding the Fourth Proportional to 3,877, 5,818.06 and 1,825.16

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Solution

The fourth proportional to 3,877, 5,818.06 and 1,825.16 is: 2,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877 : 5,818.06 = 1,825.16 : x
  2. Step 2: Convert to fraction form
    3,877/5,818.06 = 1,825.16/x
  3. Step 3: Cross multiply
    3,877x = 5,818.06 × 1,825.16
  4. Step 4: Simplify right side
    3,877x = 10,618,890.39
  5. Step 5: Solve for x
    x = 10,618,890.39/3,877
  6. Step 6: Final answer
    x = 2,738.95

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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.