Home / 1,429.41-2,142.40-811.84

Finding the Fourth Proportional to 1,429.41, 2,142.40 and 811.84

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Solution

The fourth proportional to 1,429.41, 2,142.40 and 811.84 is: 1,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.41 : 2,142.40 = 811.84 : x
  2. Step 2: Convert to fraction form
    1,429.41/2,142.40 = 811.84/x
  3. Step 3: Cross multiply
    1,429.41x = 2,142.40 × 811.84
  4. Step 4: Simplify right side
    1,429.41x = 1,739,286.02
  5. Step 5: Solve for x
    x = 1,739,286.02/1,429.41
  6. Step 6: Final answer
    x = 1,216.79

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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.