Home / 2,293.79-3,438.34-905.22

Finding the Fourth Proportional to 2,293.79, 3,438.34 and 905.22

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Solution

The fourth proportional to 2,293.79, 3,438.34 and 905.22 is: 1,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.79 : 3,438.34 = 905.22 : x
  2. Step 2: Convert to fraction form
    2,293.79/3,438.34 = 905.22/x
  3. Step 3: Cross multiply
    2,293.79x = 3,438.34 × 905.22
  4. Step 4: Simplify right side
    2,293.79x = 3,112,436.94
  5. Step 5: Solve for x
    x = 3,112,436.94/2,293.79
  6. Step 6: Final answer
    x = 1,356.90

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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.