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Finding the Fourth Proportional to 3,020.67, 4,530.51 and 829.53

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Solution

The fourth proportional to 3,020.67, 4,530.51 and 829.53 is: 1,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.67 : 4,530.51 = 829.53 : x
  2. Step 2: Convert to fraction form
    3,020.67/4,530.51 = 829.53/x
  3. Step 3: Cross multiply
    3,020.67x = 4,530.51 × 829.53
  4. Step 4: Simplify right side
    3,020.67x = 3,758,193.96
  5. Step 5: Solve for x
    x = 3,758,193.96/3,020.67
  6. Step 6: Final answer
    x = 1,244.16

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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.