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Finding the Fourth Proportional to 7,725.20, 11,593.20 and 3,345.80

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Solution

The fourth proportional to 7,725.20, 11,593.20 and 3,345.80 is: 5,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.20 : 11,593.20 = 3,345.80 : x
  2. Step 2: Convert to fraction form
    7,725.20/11,593.20 = 3,345.80/x
  3. Step 3: Cross multiply
    7,725.20x = 11,593.20 × 3,345.80
  4. Step 4: Simplify right side
    7,725.20x = 38,788,528.56
  5. Step 5: Solve for x
    x = 38,788,528.56/7,725.20
  6. Step 6: Final answer
    x = 5,021.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.