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Finding the Fourth Proportional to 5,327.28, 7,345 and 4,145.84

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Solution

The fourth proportional to 5,327.28, 7,345 and 4,145.84 is: 5,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.28 : 7,345 = 4,145.84 : x
  2. Step 2: Convert to fraction form
    5,327.28/7,345 = 4,145.84/x
  3. Step 3: Cross multiply
    5,327.28x = 7,345 × 4,145.84
  4. Step 4: Simplify right side
    5,327.28x = 30,451,194.80
  5. Step 5: Solve for x
    x = 30,451,194.80/5,327.28
  6. Step 6: Final answer
    x = 5,716.09

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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.