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Finding the Fourth Proportional to 2,033, 3,049.50 and 817

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Solution

The fourth proportional to 2,033, 3,049.50 and 817 is: 1,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 3,049.50 = 817 : x
  2. Step 2: Convert to fraction form
    2,033/3,049.50 = 817/x
  3. Step 3: Cross multiply
    2,033x = 3,049.50 × 817
  4. Step 4: Simplify right side
    2,033x = 2,491,441.50
  5. Step 5: Solve for x
    x = 2,491,441.50/2,033
  6. Step 6: Final answer
    x = 1,225.50

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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.