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Finding the Fourth Proportional to 3,857.63, 5,318.06 and 2,741.12

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Solution

The fourth proportional to 3,857.63, 5,318.06 and 2,741.12 is: 3,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.63 : 5,318.06 = 2,741.12 : x
  2. Step 2: Convert to fraction form
    3,857.63/5,318.06 = 2,741.12/x
  3. Step 3: Cross multiply
    3,857.63x = 5,318.06 × 2,741.12
  4. Step 4: Simplify right side
    3,857.63x = 14,577,405.32
  5. Step 5: Solve for x
    x = 14,577,405.32/3,857.63
  6. Step 6: Final answer
    x = 3,778.85

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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.