Home / 1,424.56-2,131.44-938.20

Finding the Fourth Proportional to 1,424.56, 2,131.44 and 938.20

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Solution

The fourth proportional to 1,424.56, 2,131.44 and 938.20 is: 1,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.56 : 2,131.44 = 938.20 : x
  2. Step 2: Convert to fraction form
    1,424.56/2,131.44 = 938.20/x
  3. Step 3: Cross multiply
    1,424.56x = 2,131.44 × 938.20
  4. Step 4: Simplify right side
    1,424.56x = 1,999,717.01
  5. Step 5: Solve for x
    x = 1,999,717.01/1,424.56
  6. Step 6: Final answer
    x = 1,403.74

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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.