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Finding the Fourth Proportional to 3,353, 4,627.28 and 1,861.08

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Solution

The fourth proportional to 3,353, 4,627.28 and 1,861.08 is: 2,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353 : 4,627.28 = 1,861.08 : x
  2. Step 2: Convert to fraction form
    3,353/4,627.28 = 1,861.08/x
  3. Step 3: Cross multiply
    3,353x = 4,627.28 × 1,861.08
  4. Step 4: Simplify right side
    3,353x = 8,611,738.26
  5. Step 5: Solve for x
    x = 8,611,738.26/3,353
  6. Step 6: Final answer
    x = 2,568.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.