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Finding the Fourth Proportional to 4,442.70, 6,662.64 and 1,845

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Solution

The fourth proportional to 4,442.70, 6,662.64 and 1,845 is: 2,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.70 : 6,662.64 = 1,845 : x
  2. Step 2: Convert to fraction form
    4,442.70/6,662.64 = 1,845/x
  3. Step 3: Cross multiply
    4,442.70x = 6,662.64 × 1,845
  4. Step 4: Simplify right side
    4,442.70x = 12,292,570.80
  5. Step 5: Solve for x
    x = 12,292,570.80/4,442.70
  6. Step 6: Final answer
    x = 2,766.91

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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.