Home / 2,134.10-3,203.55-1,649.30

Finding the Fourth Proportional to 2,134.10, 3,203.55 and 1,649.30

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Solution

The fourth proportional to 2,134.10, 3,203.55 and 1,649.30 is: 2,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.10 : 3,203.55 = 1,649.30 : x
  2. Step 2: Convert to fraction form
    2,134.10/3,203.55 = 1,649.30/x
  3. Step 3: Cross multiply
    2,134.10x = 3,203.55 × 1,649.30
  4. Step 4: Simplify right side
    2,134.10x = 5,283,615.02
  5. Step 5: Solve for x
    x = 5,283,615.02/2,134.10
  6. Step 6: Final answer
    x = 2,475.80

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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.