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Finding the Fourth Proportional to 3,020.58, 4,530.86 and 829.14

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Solution

The fourth proportional to 3,020.58, 4,530.86 and 829.14 is: 1,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.58 : 4,530.86 = 829.14 : x
  2. Step 2: Convert to fraction form
    3,020.58/4,530.86 = 829.14/x
  3. Step 3: Cross multiply
    3,020.58x = 4,530.86 × 829.14
  4. Step 4: Simplify right side
    3,020.58x = 3,756,717.26
  5. Step 5: Solve for x
    x = 3,756,717.26/3,020.58
  6. Step 6: Final answer
    x = 1,243.71

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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.