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Finding the Fourth Proportional to 3,881.55, 5,821.75 and 1,415.79

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Solution

The fourth proportional to 3,881.55, 5,821.75 and 1,415.79 is: 2,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.55 : 5,821.75 = 1,415.79 : x
  2. Step 2: Convert to fraction form
    3,881.55/5,821.75 = 1,415.79/x
  3. Step 3: Cross multiply
    3,881.55x = 5,821.75 × 1,415.79
  4. Step 4: Simplify right side
    3,881.55x = 8,242,375.43
  5. Step 5: Solve for x
    x = 8,242,375.43/3,881.55
  6. Step 6: Final answer
    x = 2,123.48

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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.