Home / 1,422.14-2,135.21-729.31

Finding the Fourth Proportional to 1,422.14, 2,135.21 and 729.31

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Solution

The fourth proportional to 1,422.14, 2,135.21 and 729.31 is: 1,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.14 : 2,135.21 = 729.31 : x
  2. Step 2: Convert to fraction form
    1,422.14/2,135.21 = 729.31/x
  3. Step 3: Cross multiply
    1,422.14x = 2,135.21 × 729.31
  4. Step 4: Simplify right side
    1,422.14x = 1,557,215.68
  5. Step 5: Solve for x
    x = 1,557,215.68/1,422.14
  6. Step 6: Final answer
    x = 1,094.98

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1.5x scale

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.