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Finding the Fourth Proportional to 3,020.55, 4,530.52 and 829.60

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Solution

The fourth proportional to 3,020.55, 4,530.52 and 829.60 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.55 : 4,530.52 = 829.60 : x
  2. Step 2: Convert to fraction form
    3,020.55/4,530.52 = 829.60/x
  3. Step 3: Cross multiply
    3,020.55x = 4,530.52 × 829.60
  4. Step 4: Simplify right side
    3,020.55x = 3,758,519.39
  5. Step 5: Solve for x
    x = 3,758,519.39/3,020.55
  6. Step 6: Final answer
    x = 1,244.32

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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.