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Finding the Fourth Proportional to 3,021.45, 4,531.96 and 829.99

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Solution

The fourth proportional to 3,021.45, 4,531.96 and 829.99 is: 1,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.45 : 4,531.96 = 829.99 : x
  2. Step 2: Convert to fraction form
    3,021.45/4,531.96 = 829.99/x
  3. Step 3: Cross multiply
    3,021.45x = 4,531.96 × 829.99
  4. Step 4: Simplify right side
    3,021.45x = 3,761,477.33
  5. Step 5: Solve for x
    x = 3,761,477.33/3,021.45
  6. Step 6: Final answer
    x = 1,244.92

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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.