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Finding the Fourth Proportional to 3,433.86, 4,738.71 and 1,861.95

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Solution

The fourth proportional to 3,433.86, 4,738.71 and 1,861.95 is: 2,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.86 : 4,738.71 = 1,861.95 : x
  2. Step 2: Convert to fraction form
    3,433.86/4,738.71 = 1,861.95/x
  3. Step 3: Cross multiply
    3,433.86x = 4,738.71 × 1,861.95
  4. Step 4: Simplify right side
    3,433.86x = 8,823,241.08
  5. Step 5: Solve for x
    x = 8,823,241.08/3,433.86
  6. Step 6: Final answer
    x = 2,569.48

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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.