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Finding the Fourth Proportional to 3,485, 5,227.50 and 1,433

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Solution

The fourth proportional to 3,485, 5,227.50 and 1,433 is: 2,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485 : 5,227.50 = 1,433 : x
  2. Step 2: Convert to fraction form
    3,485/5,227.50 = 1,433/x
  3. Step 3: Cross multiply
    3,485x = 5,227.50 × 1,433
  4. Step 4: Simplify right side
    3,485x = 7,491,007.50
  5. Step 5: Solve for x
    x = 7,491,007.50/3,485
  6. Step 6: Final answer
    x = 2,149.50

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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.