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Finding the Fourth Proportional to 3,446, 4,755.60 and 1,933.64

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Solution

The fourth proportional to 3,446, 4,755.60 and 1,933.64 is: 2,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446 : 4,755.60 = 1,933.64 : x
  2. Step 2: Convert to fraction form
    3,446/4,755.60 = 1,933.64/x
  3. Step 3: Cross multiply
    3,446x = 4,755.60 × 1,933.64
  4. Step 4: Simplify right side
    3,446x = 9,195,618.38
  5. Step 5: Solve for x
    x = 9,195,618.38/3,446
  6. Step 6: Final answer
    x = 2,668.49

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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.