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Finding the Fourth Proportional to 3,758.94, 5,186.93 and 2,080.30

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Solution

The fourth proportional to 3,758.94, 5,186.93 and 2,080.30 is: 2,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.94 : 5,186.93 = 2,080.30 : x
  2. Step 2: Convert to fraction form
    3,758.94/5,186.93 = 2,080.30/x
  3. Step 3: Cross multiply
    3,758.94x = 5,186.93 × 2,080.30
  4. Step 4: Simplify right side
    3,758.94x = 10,790,370.48
  5. Step 5: Solve for x
    x = 10,790,370.48/3,758.94
  6. Step 6: Final answer
    x = 2,870.59

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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.