Home / 4,157-5,736.78-2,294.12

Finding the Fourth Proportional to 4,157, 5,736.78 and 2,294.12

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Solution

The fourth proportional to 4,157, 5,736.78 and 2,294.12 is: 3,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157 : 5,736.78 = 2,294.12 : x
  2. Step 2: Convert to fraction form
    4,157/5,736.78 = 2,294.12/x
  3. Step 3: Cross multiply
    4,157x = 5,736.78 × 2,294.12
  4. Step 4: Simplify right side
    4,157x = 13,160,861.73
  5. Step 5: Solve for x
    x = 13,160,861.73/4,157
  6. Step 6: Final answer
    x = 3,165.95

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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.