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Finding the Fourth Proportional to 3,552.50, 5,330.67 and 1,728.50

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Solution

The fourth proportional to 3,552.50, 5,330.67 and 1,728.50 is: 2,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.50 : 5,330.67 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    3,552.50/5,330.67 = 1,728.50/x
  3. Step 3: Cross multiply
    3,552.50x = 5,330.67 × 1,728.50
  4. Step 4: Simplify right side
    3,552.50x = 9,214,063.10
  5. Step 5: Solve for x
    x = 9,214,063.10/3,552.50
  6. Step 6: Final answer
    x = 2,593.68

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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.