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Finding the Fourth Proportional to 3,546.61, 5,346.67 and 3,308.83

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Solution

The fourth proportional to 3,546.61, 5,346.67 and 3,308.83 is: 4,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.61 : 5,346.67 = 3,308.83 : x
  2. Step 2: Convert to fraction form
    3,546.61/5,346.67 = 3,308.83/x
  3. Step 3: Cross multiply
    3,546.61x = 5,346.67 × 3,308.83
  4. Step 4: Simplify right side
    3,546.61x = 17,691,222.10
  5. Step 5: Solve for x
    x = 17,691,222.10/3,546.61
  6. Step 6: Final answer
    x = 4,988.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.