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Finding the Fourth Proportional to 7,179.10, 10,768.64 and 1,984.96

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Solution

The fourth proportional to 7,179.10, 10,768.64 and 1,984.96 is: 2,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.10 : 10,768.64 = 1,984.96 : x
  2. Step 2: Convert to fraction form
    7,179.10/10,768.64 = 1,984.96/x
  3. Step 3: Cross multiply
    7,179.10x = 10,768.64 × 1,984.96
  4. Step 4: Simplify right side
    7,179.10x = 21,375,319.65
  5. Step 5: Solve for x
    x = 21,375,319.65/7,179.10
  6. Step 6: Final answer
    x = 2,977.44

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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.