Home / 1,421.41-2,132.19-381.57

Finding the Fourth Proportional to 1,421.41, 2,132.19 and 381.57

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Solution

The fourth proportional to 1,421.41, 2,132.19 and 381.57 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.41 : 2,132.19 = 381.57 : x
  2. Step 2: Convert to fraction form
    1,421.41/2,132.19 = 381.57/x
  3. Step 3: Cross multiply
    1,421.41x = 2,132.19 × 381.57
  4. Step 4: Simplify right side
    1,421.41x = 813,579.74
  5. Step 5: Solve for x
    x = 813,579.74/1,421.41
  6. Step 6: Final answer
    x = 572.38

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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.