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Finding the Fourth Proportional to 3,758.64, 5,186.90 and 2,246.90

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Solution

The fourth proportional to 3,758.64, 5,186.90 and 2,246.90 is: 3,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.64 : 5,186.90 = 2,246.90 : x
  2. Step 2: Convert to fraction form
    3,758.64/5,186.90 = 2,246.90/x
  3. Step 3: Cross multiply
    3,758.64x = 5,186.90 × 2,246.90
  4. Step 4: Simplify right side
    3,758.64x = 11,654,408.44
  5. Step 5: Solve for x
    x = 11,654,408.44/3,758.64
  6. Step 6: Final answer
    x = 3,100.70

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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.