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Finding the Fourth Proportional to 4,122.70, 6,182.25 and 1,200.94

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Solution

The fourth proportional to 4,122.70, 6,182.25 and 1,200.94 is: 1,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.70 : 6,182.25 = 1,200.94 : x
  2. Step 2: Convert to fraction form
    4,122.70/6,182.25 = 1,200.94/x
  3. Step 3: Cross multiply
    4,122.70x = 6,182.25 × 1,200.94
  4. Step 4: Simplify right side
    4,122.70x = 7,424,511.32
  5. Step 5: Solve for x
    x = 7,424,511.32/4,122.70
  6. Step 6: Final answer
    x = 1,800.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.