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Finding the Fourth Proportional to 7,134.88, 10,702.12 and 1,940.80

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Solution

The fourth proportional to 7,134.88, 10,702.12 and 1,940.80 is: 2,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.88 : 10,702.12 = 1,940.80 : x
  2. Step 2: Convert to fraction form
    7,134.88/10,702.12 = 1,940.80/x
  3. Step 3: Cross multiply
    7,134.88x = 10,702.12 × 1,940.80
  4. Step 4: Simplify right side
    7,134.88x = 20,770,674.50
  5. Step 5: Solve for x
    x = 20,770,674.50/7,134.88
  6. Step 6: Final answer
    x = 2,911.15

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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.