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Finding the Fourth Proportional to 2,141.62, 3,207.95 and 1,722.88

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Solution

The fourth proportional to 2,141.62, 3,207.95 and 1,722.88 is: 2,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.62 : 3,207.95 = 1,722.88 : x
  2. Step 2: Convert to fraction form
    2,141.62/3,207.95 = 1,722.88/x
  3. Step 3: Cross multiply
    2,141.62x = 3,207.95 × 1,722.88
  4. Step 4: Simplify right side
    2,141.62x = 5,526,914.75
  5. Step 5: Solve for x
    x = 5,526,914.75/2,141.62
  6. Step 6: Final answer
    x = 2,580.72

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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.