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Finding the Fourth Proportional to 5,813.80, 8,021.04 and 3,719.20

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Solution

The fourth proportional to 5,813.80, 8,021.04 and 3,719.20 is: 5,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.80 : 8,021.04 = 3,719.20 : x
  2. Step 2: Convert to fraction form
    5,813.80/8,021.04 = 3,719.20/x
  3. Step 3: Cross multiply
    5,813.80x = 8,021.04 × 3,719.20
  4. Step 4: Simplify right side
    5,813.80x = 29,831,851.97
  5. Step 5: Solve for x
    x = 29,831,851.97/5,813.80
  6. Step 6: Final answer
    x = 5,131.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.