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Finding the Fourth Proportional to 3,961.84, 5,944.16 and 1,770.40

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Solution

The fourth proportional to 3,961.84, 5,944.16 and 1,770.40 is: 2,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.84 : 5,944.16 = 1,770.40 : x
  2. Step 2: Convert to fraction form
    3,961.84/5,944.16 = 1,770.40/x
  3. Step 3: Cross multiply
    3,961.84x = 5,944.16 × 1,770.40
  4. Step 4: Simplify right side
    3,961.84x = 10,523,540.86
  5. Step 5: Solve for x
    x = 10,523,540.86/3,961.84
  6. Step 6: Final answer
    x = 2,656.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.