Home / 2,428.14-3,642.21-967.31

Finding the Fourth Proportional to 2,428.14, 3,642.21 and 967.31

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Solution

The fourth proportional to 2,428.14, 3,642.21 and 967.31 is: 1,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.14 : 3,642.21 = 967.31 : x
  2. Step 2: Convert to fraction form
    2,428.14/3,642.21 = 967.31/x
  3. Step 3: Cross multiply
    2,428.14x = 3,642.21 × 967.31
  4. Step 4: Simplify right side
    2,428.14x = 3,523,127.94
  5. Step 5: Solve for x
    x = 3,523,127.94/2,428.14
  6. Step 6: Final answer
    x = 1,450.96

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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.