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Finding the Fourth Proportional to 3,019.92, 4,530 and 1,171.02

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Solution

The fourth proportional to 3,019.92, 4,530 and 1,171.02 is: 1,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.92 : 4,530 = 1,171.02 : x
  2. Step 2: Convert to fraction form
    3,019.92/4,530 = 1,171.02/x
  3. Step 3: Cross multiply
    3,019.92x = 4,530 × 1,171.02
  4. Step 4: Simplify right side
    3,019.92x = 5,304,720.60
  5. Step 5: Solve for x
    x = 5,304,720.60/3,019.92
  6. Step 6: Final answer
    x = 1,756.58

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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.