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Finding the Fourth Proportional to 3,902, 5,853.50 and 1,438.54

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Solution

The fourth proportional to 3,902, 5,853.50 and 1,438.54 is: 2,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,853.50 = 1,438.54 : x
  2. Step 2: Convert to fraction form
    3,902/5,853.50 = 1,438.54/x
  3. Step 3: Cross multiply
    3,902x = 5,853.50 × 1,438.54
  4. Step 4: Simplify right side
    3,902x = 8,420,486.70
  5. Step 5: Solve for x
    x = 8,420,486.70/3,902
  6. Step 6: Final answer
    x = 2,157.99

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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.