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Finding the Fourth Proportional to 3,840.84, 5,759.85 and 1,374.99

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Solution

The fourth proportional to 3,840.84, 5,759.85 and 1,374.99 is: 2,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.84 : 5,759.85 = 1,374.99 : x
  2. Step 2: Convert to fraction form
    3,840.84/5,759.85 = 1,374.99/x
  3. Step 3: Cross multiply
    3,840.84x = 5,759.85 × 1,374.99
  4. Step 4: Simplify right side
    3,840.84x = 7,919,736.15
  5. Step 5: Solve for x
    x = 7,919,736.15/3,840.84
  6. Step 6: Final answer
    x = 2,061.98

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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.