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Finding the Fourth Proportional to 5,400, 7,449.12 and 3,628.56

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Solution

The fourth proportional to 5,400, 7,449.12 and 3,628.56 is: 5,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 7,449.12 = 3,628.56 : x
  2. Step 2: Convert to fraction form
    5,400/7,449.12 = 3,628.56/x
  3. Step 3: Cross multiply
    5,400x = 7,449.12 × 3,628.56
  4. Step 4: Simplify right side
    5,400x = 27,029,578.87
  5. Step 5: Solve for x
    x = 27,029,578.87/5,400
  6. Step 6: Final answer
    x = 5,005.48

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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.