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Finding the Fourth Proportional to 3,668.51, 5,499.09 and 1,820.97

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Solution

The fourth proportional to 3,668.51, 5,499.09 and 1,820.97 is: 2,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.51 : 5,499.09 = 1,820.97 : x
  2. Step 2: Convert to fraction form
    3,668.51/5,499.09 = 1,820.97/x
  3. Step 3: Cross multiply
    3,668.51x = 5,499.09 × 1,820.97
  4. Step 4: Simplify right side
    3,668.51x = 10,013,677.92
  5. Step 5: Solve for x
    x = 10,013,677.92/3,668.51
  6. Step 6: Final answer
    x = 2,729.63

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1.5x scale

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.