Home / 1,429.22-2,142.80-965.86

Finding the Fourth Proportional to 1,429.22, 2,142.80 and 965.86

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Solution

The fourth proportional to 1,429.22, 2,142.80 and 965.86 is: 1,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.22 : 2,142.80 = 965.86 : x
  2. Step 2: Convert to fraction form
    1,429.22/2,142.80 = 965.86/x
  3. Step 3: Cross multiply
    1,429.22x = 2,142.80 × 965.86
  4. Step 4: Simplify right side
    1,429.22x = 2,069,644.81
  5. Step 5: Solve for x
    x = 2,069,644.81/1,429.22
  6. Step 6: Final answer
    x = 1,448.09

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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.