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Finding the Fourth Proportional to 3,486, 5,231.60 and 2,171.67

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Solution

The fourth proportional to 3,486, 5,231.60 and 2,171.67 is: 3,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 5,231.60 = 2,171.67 : x
  2. Step 2: Convert to fraction form
    3,486/5,231.60 = 2,171.67/x
  3. Step 3: Cross multiply
    3,486x = 5,231.60 × 2,171.67
  4. Step 4: Simplify right side
    3,486x = 11,361,308.77
  5. Step 5: Solve for x
    x = 11,361,308.77/3,486
  6. Step 6: Final answer
    x = 3,259.12

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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.