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Finding the Fourth Proportional to 3,082.59, 4,256.02 and 1,905.71

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Solution

The fourth proportional to 3,082.59, 4,256.02 and 1,905.71 is: 2,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.59 : 4,256.02 = 1,905.71 : x
  2. Step 2: Convert to fraction form
    3,082.59/4,256.02 = 1,905.71/x
  3. Step 3: Cross multiply
    3,082.59x = 4,256.02 × 1,905.71
  4. Step 4: Simplify right side
    3,082.59x = 8,110,736.61
  5. Step 5: Solve for x
    x = 8,110,736.61/3,082.59
  6. Step 6: Final answer
    x = 2,631.15

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