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Finding the Fourth Proportional to 3,020.47, 4,530.65 and 829.11

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Solution

The fourth proportional to 3,020.47, 4,530.65 and 829.11 is: 1,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.47 : 4,530.65 = 829.11 : x
  2. Step 2: Convert to fraction form
    3,020.47/4,530.65 = 829.11/x
  3. Step 3: Cross multiply
    3,020.47x = 4,530.65 × 829.11
  4. Step 4: Simplify right side
    3,020.47x = 3,756,420.07
  5. Step 5: Solve for x
    x = 3,756,420.07/3,020.47
  6. Step 6: Final answer
    x = 1,243.66

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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.