Home / 2,290.23-3,434.64-829.20

Finding the Fourth Proportional to 2,290.23, 3,434.64 and 829.20

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Solution

The fourth proportional to 2,290.23, 3,434.64 and 829.20 is: 1,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.23 : 3,434.64 = 829.20 : x
  2. Step 2: Convert to fraction form
    2,290.23/3,434.64 = 829.20/x
  3. Step 3: Cross multiply
    2,290.23x = 3,434.64 × 829.20
  4. Step 4: Simplify right side
    2,290.23x = 2,848,003.49
  5. Step 5: Solve for x
    x = 2,848,003.49/2,290.23
  6. Step 6: Final answer
    x = 1,243.54

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1.5x scale

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.