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Finding the Fourth Proportional to 3,755.88, 5,632.02 and 1,808.64

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Solution

The fourth proportional to 3,755.88, 5,632.02 and 1,808.64 is: 2,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.88 : 5,632.02 = 1,808.64 : x
  2. Step 2: Convert to fraction form
    3,755.88/5,632.02 = 1,808.64/x
  3. Step 3: Cross multiply
    3,755.88x = 5,632.02 × 1,808.64
  4. Step 4: Simplify right side
    3,755.88x = 10,186,296.65
  5. Step 5: Solve for x
    x = 10,186,296.65/3,755.88
  6. Step 6: Final answer
    x = 2,712.09

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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.