Home / 2,145.48-3,218.34-829.86

Finding the Fourth Proportional to 2,145.48, 3,218.34 and 829.86

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Solution

The fourth proportional to 2,145.48, 3,218.34 and 829.86 is: 1,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.48 : 3,218.34 = 829.86 : x
  2. Step 2: Convert to fraction form
    2,145.48/3,218.34 = 829.86/x
  3. Step 3: Cross multiply
    2,145.48x = 3,218.34 × 829.86
  4. Step 4: Simplify right side
    2,145.48x = 2,670,771.63
  5. Step 5: Solve for x
    x = 2,670,771.63/2,145.48
  6. Step 6: Final answer
    x = 1,244.84

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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.