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Finding the Fourth Proportional to 5,420.24, 8,123.80 and 3,878

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Solution

The fourth proportional to 5,420.24, 8,123.80 and 3,878 is: 5,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.24 : 8,123.80 = 3,878 : x
  2. Step 2: Convert to fraction form
    5,420.24/8,123.80 = 3,878/x
  3. Step 3: Cross multiply
    5,420.24x = 8,123.80 × 3,878
  4. Step 4: Simplify right side
    5,420.24x = 31,504,096.40
  5. Step 5: Solve for x
    x = 31,504,096.40/5,420.24
  6. Step 6: Final answer
    x = 5,812.31

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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.