Home / 1,428.56-2,137.44-942.20

Finding the Fourth Proportional to 1,428.56, 2,137.44 and 942.20

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Solution

The fourth proportional to 1,428.56, 2,137.44 and 942.20 is: 1,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.56 : 2,137.44 = 942.20 : x
  2. Step 2: Convert to fraction form
    1,428.56/2,137.44 = 942.20/x
  3. Step 3: Cross multiply
    1,428.56x = 2,137.44 × 942.20
  4. Step 4: Simplify right side
    1,428.56x = 2,013,895.97
  5. Step 5: Solve for x
    x = 2,013,895.97/1,428.56
  6. Step 6: Final answer
    x = 1,409.74

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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.