Home / 1,421.34-2,131.82-381.41

Finding the Fourth Proportional to 1,421.34, 2,131.82 and 381.41

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Solution

The fourth proportional to 1,421.34, 2,131.82 and 381.41 is: 572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.34 : 2,131.82 = 381.41 : x
  2. Step 2: Convert to fraction form
    1,421.34/2,131.82 = 381.41/x
  3. Step 3: Cross multiply
    1,421.34x = 2,131.82 × 381.41
  4. Step 4: Simplify right side
    1,421.34x = 813,097.47
  5. Step 5: Solve for x
    x = 813,097.47/1,421.34
  6. Step 6: Final answer
    x = 572.06

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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.