Home / 1,581.21-2,371.46-427.05

Finding the Fourth Proportional to 1,581.21, 2,371.46 and 427.05

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Solution

The fourth proportional to 1,581.21, 2,371.46 and 427.05 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.21 : 2,371.46 = 427.05 : x
  2. Step 2: Convert to fraction form
    1,581.21/2,371.46 = 427.05/x
  3. Step 3: Cross multiply
    1,581.21x = 2,371.46 × 427.05
  4. Step 4: Simplify right side
    1,581.21x = 1,012,729.86
  5. Step 5: Solve for x
    x = 1,012,729.86/1,581.21
  6. Step 6: Final answer
    x = 640.48

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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.