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Finding the Fourth Proportional to 7,169.60, 10,750.94 and 3,660.80

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Solution

The fourth proportional to 7,169.60, 10,750.94 and 3,660.80 is: 5,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.60 : 10,750.94 = 3,660.80 : x
  2. Step 2: Convert to fraction form
    7,169.60/10,750.94 = 3,660.80/x
  3. Step 3: Cross multiply
    7,169.60x = 10,750.94 × 3,660.80
  4. Step 4: Simplify right side
    7,169.60x = 39,357,041.15
  5. Step 5: Solve for x
    x = 39,357,041.15/7,169.60
  6. Step 6: Final answer
    x = 5,489.43

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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.