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Finding the Fourth Proportional to 7,322.50, 10,983.79 and 1,850.50

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Solution

The fourth proportional to 7,322.50, 10,983.79 and 1,850.50 is: 2,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.50 : 10,983.79 = 1,850.50 : x
  2. Step 2: Convert to fraction form
    7,322.50/10,983.79 = 1,850.50/x
  3. Step 3: Cross multiply
    7,322.50x = 10,983.79 × 1,850.50
  4. Step 4: Simplify right side
    7,322.50x = 20,325,503.40
  5. Step 5: Solve for x
    x = 20,325,503.40/7,322.50
  6. Step 6: Final answer
    x = 2,775.76

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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.