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Finding the Fourth Proportional to 3,965.40, 5,474.93 and 3,544.40

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Solution

The fourth proportional to 3,965.40, 5,474.93 and 3,544.40 is: 4,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.40 : 5,474.93 = 3,544.40 : x
  2. Step 2: Convert to fraction form
    3,965.40/5,474.93 = 3,544.40/x
  3. Step 3: Cross multiply
    3,965.40x = 5,474.93 × 3,544.40
  4. Step 4: Simplify right side
    3,965.40x = 19,405,337.86
  5. Step 5: Solve for x
    x = 19,405,337.86/3,965.40
  6. Step 6: Final answer
    x = 4,893.66

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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.