Home / 2,292.23-3,436.34-830.38

Finding the Fourth Proportional to 2,292.23, 3,436.34 and 830.38

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Solution

The fourth proportional to 2,292.23, 3,436.34 and 830.38 is: 1,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.23 : 3,436.34 = 830.38 : x
  2. Step 2: Convert to fraction form
    2,292.23/3,436.34 = 830.38/x
  3. Step 3: Cross multiply
    2,292.23x = 3,436.34 × 830.38
  4. Step 4: Simplify right side
    2,292.23x = 2,853,450.83
  5. Step 5: Solve for x
    x = 2,853,450.83/2,292.23
  6. Step 6: Final answer
    x = 1,244.84

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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.