Home / 2,291.14-3,434.62-829.96

Finding the Fourth Proportional to 2,291.14, 3,434.62 and 829.96

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Solution

The fourth proportional to 2,291.14, 3,434.62 and 829.96 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.14 : 3,434.62 = 829.96 : x
  2. Step 2: Convert to fraction form
    2,291.14/3,434.62 = 829.96/x
  3. Step 3: Cross multiply
    2,291.14x = 3,434.62 × 829.96
  4. Step 4: Simplify right side
    2,291.14x = 2,850,597.22
  5. Step 5: Solve for x
    x = 2,850,597.22/2,291.14
  6. Step 6: Final answer
    x = 1,244.18

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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.