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Finding the Fourth Proportional to 3,827.82, 5,282.04 and 2,149.50

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Solution

The fourth proportional to 3,827.82, 5,282.04 and 2,149.50 is: 2,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.82 : 5,282.04 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    3,827.82/5,282.04 = 2,149.50/x
  3. Step 3: Cross multiply
    3,827.82x = 5,282.04 × 2,149.50
  4. Step 4: Simplify right side
    3,827.82x = 11,353,744.98
  5. Step 5: Solve for x
    x = 11,353,744.98/3,827.82
  6. Step 6: Final answer
    x = 2,966.11

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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.