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Finding the Fourth Proportional to 3,433.64, 4,738.43 and 1,861.73

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Solution

The fourth proportional to 3,433.64, 4,738.43 and 1,861.73 is: 2,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.64 : 4,738.43 = 1,861.73 : x
  2. Step 2: Convert to fraction form
    3,433.64/4,738.43 = 1,861.73/x
  3. Step 3: Cross multiply
    3,433.64x = 4,738.43 × 1,861.73
  4. Step 4: Simplify right side
    3,433.64x = 8,821,702.67
  5. Step 5: Solve for x
    x = 8,821,702.67/3,433.64
  6. Step 6: Final answer
    x = 2,569.20

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1.5x scale

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.