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Finding the Fourth Proportional to 6,754.75, 10,130.50 and 2,137.75

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Solution

The fourth proportional to 6,754.75, 10,130.50 and 2,137.75 is: 3,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.75 : 10,130.50 = 2,137.75 : x
  2. Step 2: Convert to fraction form
    6,754.75/10,130.50 = 2,137.75/x
  3. Step 3: Cross multiply
    6,754.75x = 10,130.50 × 2,137.75
  4. Step 4: Simplify right side
    6,754.75x = 21,656,476.38
  5. Step 5: Solve for x
    x = 21,656,476.38/6,754.75
  6. Step 6: Final answer
    x = 3,206.11

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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.