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Finding the Fourth Proportional to 3,893.69, 5,840.54 and 1,428.71

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Solution

The fourth proportional to 3,893.69, 5,840.54 and 1,428.71 is: 2,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.69 : 5,840.54 = 1,428.71 : x
  2. Step 2: Convert to fraction form
    3,893.69/5,840.54 = 1,428.71/x
  3. Step 3: Cross multiply
    3,893.69x = 5,840.54 × 1,428.71
  4. Step 4: Simplify right side
    3,893.69x = 8,344,401.56
  5. Step 5: Solve for x
    x = 8,344,401.56/3,893.69
  6. Step 6: Final answer
    x = 2,143.06

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1.5x scale

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.