Home / 2,292.26-3,437.75-905.57

Finding the Fourth Proportional to 2,292.26, 3,437.75 and 905.57

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Solution

The fourth proportional to 2,292.26, 3,437.75 and 905.57 is: 1,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.26 : 3,437.75 = 905.57 : x
  2. Step 2: Convert to fraction form
    2,292.26/3,437.75 = 905.57/x
  3. Step 3: Cross multiply
    2,292.26x = 3,437.75 × 905.57
  4. Step 4: Simplify right side
    2,292.26x = 3,113,101.55
  5. Step 5: Solve for x
    x = 3,113,101.55/2,292.26
  6. Step 6: Final answer
    x = 1,358.10

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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.