Home / 2,134.67-3,203.40-965.30

Finding the Fourth Proportional to 2,134.67, 3,203.40 and 965.30

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Solution

The fourth proportional to 2,134.67, 3,203.40 and 965.30 is: 1,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.67 : 3,203.40 = 965.30 : x
  2. Step 2: Convert to fraction form
    2,134.67/3,203.40 = 965.30/x
  3. Step 3: Cross multiply
    2,134.67x = 3,203.40 × 965.30
  4. Step 4: Simplify right side
    2,134.67x = 3,092,242.02
  5. Step 5: Solve for x
    x = 3,092,242.02/2,134.67
  6. Step 6: Final answer
    x = 1,448.58

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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.