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Finding the Fourth Proportional to 3,021.31, 4,532.12 and 829.99

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Solution

The fourth proportional to 3,021.31, 4,532.12 and 829.99 is: 1,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.31 : 4,532.12 = 829.99 : x
  2. Step 2: Convert to fraction form
    3,021.31/4,532.12 = 829.99/x
  3. Step 3: Cross multiply
    3,021.31x = 4,532.12 × 829.99
  4. Step 4: Simplify right side
    3,021.31x = 3,761,587.47
  5. Step 5: Solve for x
    x = 3,761,587.47/3,021.31
  6. Step 6: Final answer
    x = 1,245.02

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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.