Home / 5,784.34-7,982.37-3,131.80

Finding the Fourth Proportional to 5,784.34, 7,982.37 and 3,131.80

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Solution

The fourth proportional to 5,784.34, 7,982.37 and 3,131.80 is: 4,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.34 : 7,982.37 = 3,131.80 : x
  2. Step 2: Convert to fraction form
    5,784.34/7,982.37 = 3,131.80/x
  3. Step 3: Cross multiply
    5,784.34x = 7,982.37 × 3,131.80
  4. Step 4: Simplify right side
    5,784.34x = 24,999,186.37
  5. Step 5: Solve for x
    x = 24,999,186.37/5,784.34
  6. Step 6: Final answer
    x = 4,321.87

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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.