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Finding the Fourth Proportional to 3,668.51, 5,498.63 and 1,820.95

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Solution

The fourth proportional to 3,668.51, 5,498.63 and 1,820.95 is: 2,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.51 : 5,498.63 = 1,820.95 : x
  2. Step 2: Convert to fraction form
    3,668.51/5,498.63 = 1,820.95/x
  3. Step 3: Cross multiply
    3,668.51x = 5,498.63 × 1,820.95
  4. Step 4: Simplify right side
    3,668.51x = 10,012,730.30
  5. Step 5: Solve for x
    x = 10,012,730.30/3,668.51
  6. Step 6: Final answer
    x = 2,729.37

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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.