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Finding the Fourth Proportional to 3,965.78, 5,475.44 and 3,544.78

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Solution

The fourth proportional to 3,965.78, 5,475.44 and 3,544.78 is: 4,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.78 : 5,475.44 = 3,544.78 : x
  2. Step 2: Convert to fraction form
    3,965.78/5,475.44 = 3,544.78/x
  3. Step 3: Cross multiply
    3,965.78x = 5,475.44 × 3,544.78
  4. Step 4: Simplify right side
    3,965.78x = 19,409,225.38
  5. Step 5: Solve for x
    x = 19,409,225.38/3,965.78
  6. Step 6: Final answer
    x = 4,894.18

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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.