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Finding the Fourth Proportional to 7,134.69, 10,702.01 and 1,940.55

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Solution

The fourth proportional to 7,134.69, 10,702.01 and 1,940.55 is: 2,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.69 : 10,702.01 = 1,940.55 : x
  2. Step 2: Convert to fraction form
    7,134.69/10,702.01 = 1,940.55/x
  3. Step 3: Cross multiply
    7,134.69x = 10,702.01 × 1,940.55
  4. Step 4: Simplify right side
    7,134.69x = 20,767,775.80
  5. Step 5: Solve for x
    x = 20,767,775.80/7,134.69
  6. Step 6: Final answer
    x = 2,910.82

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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.