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Finding the Fourth Proportional to 3,952.64, 5,455.05 and 2,274.11

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Solution

The fourth proportional to 3,952.64, 5,455.05 and 2,274.11 is: 3,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.64 : 5,455.05 = 2,274.11 : x
  2. Step 2: Convert to fraction form
    3,952.64/5,455.05 = 2,274.11/x
  3. Step 3: Cross multiply
    3,952.64x = 5,455.05 × 2,274.11
  4. Step 4: Simplify right side
    3,952.64x = 12,405,383.76
  5. Step 5: Solve for x
    x = 12,405,383.76/3,952.64
  6. Step 6: Final answer
    x = 3,138.51

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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.