Home / 1,428.14-2,142.20-402.14

Finding the Fourth Proportional to 1,428.14, 2,142.20 and 402.14

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Solution

The fourth proportional to 1,428.14, 2,142.20 and 402.14 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.14 : 2,142.20 = 402.14 : x
  2. Step 2: Convert to fraction form
    1,428.14/2,142.20 = 402.14/x
  3. Step 3: Cross multiply
    1,428.14x = 2,142.20 × 402.14
  4. Step 4: Simplify right side
    1,428.14x = 861,464.31
  5. Step 5: Solve for x
    x = 861,464.31/1,428.14
  6. Step 6: Final answer
    x = 603.21

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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.