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Finding the Fourth Proportional to 2,291.09, 3,434.54 and 829.89

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Solution

The fourth proportional to 2,291.09, 3,434.54 and 829.89 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.09 : 3,434.54 = 829.89 : x
  2. Step 2: Convert to fraction form
    2,291.09/3,434.54 = 829.89/x
  3. Step 3: Cross multiply
    2,291.09x = 3,434.54 × 829.89
  4. Step 4: Simplify right side
    2,291.09x = 2,850,286.25
  5. Step 5: Solve for x
    x = 2,850,286.25/2,291.09
  6. Step 6: Final answer
    x = 1,244.08

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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.