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Finding the Fourth Proportional to 3,965.02, 5,471.70 and 2,196.64

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Solution

The fourth proportional to 3,965.02, 5,471.70 and 2,196.64 is: 3,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.02 : 5,471.70 = 2,196.64 : x
  2. Step 2: Convert to fraction form
    3,965.02/5,471.70 = 2,196.64/x
  3. Step 3: Cross multiply
    3,965.02x = 5,471.70 × 2,196.64
  4. Step 4: Simplify right side
    3,965.02x = 12,019,355.09
  5. Step 5: Solve for x
    x = 12,019,355.09/3,965.02
  6. Step 6: Final answer
    x = 3,031.35

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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.