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Finding the Fourth Proportional to 3,857.76, 5,780.97 and 3,299.16

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Solution

The fourth proportional to 3,857.76, 5,780.97 and 3,299.16 is: 4,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.76 : 5,780.97 = 3,299.16 : x
  2. Step 2: Convert to fraction form
    3,857.76/5,780.97 = 3,299.16/x
  3. Step 3: Cross multiply
    3,857.76x = 5,780.97 × 3,299.16
  4. Step 4: Simplify right side
    3,857.76x = 19,072,366.66
  5. Step 5: Solve for x
    x = 19,072,366.66/3,857.76
  6. Step 6: Final answer
    x = 4,943.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.