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Finding the Fourth Proportional to 7,157.70, 10,736.82 and 1,963.98

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Solution

The fourth proportional to 7,157.70, 10,736.82 and 1,963.98 is: 2,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.70 : 10,736.82 = 1,963.98 : x
  2. Step 2: Convert to fraction form
    7,157.70/10,736.82 = 1,963.98/x
  3. Step 3: Cross multiply
    7,157.70x = 10,736.82 × 1,963.98
  4. Step 4: Simplify right side
    7,157.70x = 21,086,899.74
  5. Step 5: Solve for x
    x = 21,086,899.74/7,157.70
  6. Step 6: Final answer
    x = 2,946.04

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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.