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Finding the Fourth Proportional to 4,181, 6,272.46 and 1,445

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Solution

The fourth proportional to 4,181, 6,272.46 and 1,445 is: 2,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 6,272.46 = 1,445 : x
  2. Step 2: Convert to fraction form
    4,181/6,272.46 = 1,445/x
  3. Step 3: Cross multiply
    4,181x = 6,272.46 × 1,445
  4. Step 4: Simplify right side
    4,181x = 9,063,704.70
  5. Step 5: Solve for x
    x = 9,063,704.70/4,181
  6. Step 6: Final answer
    x = 2,167.83

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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.