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Finding the Fourth Proportional to 3,880.27, 5,822.74 and 1,415.30

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Solution

The fourth proportional to 3,880.27, 5,822.74 and 1,415.30 is: 2,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.27 : 5,822.74 = 1,415.30 : x
  2. Step 2: Convert to fraction form
    3,880.27/5,822.74 = 1,415.30/x
  3. Step 3: Cross multiply
    3,880.27x = 5,822.74 × 1,415.30
  4. Step 4: Simplify right side
    3,880.27x = 8,240,938.48
  5. Step 5: Solve for x
    x = 8,240,938.48/3,880.27
  6. Step 6: Final answer
    x = 2,123.81

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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.