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Finding the Fourth Proportional to 2,655.91, 3,975.88 and 1,821.21

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Solution

The fourth proportional to 2,655.91, 3,975.88 and 1,821.21 is: 2,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.91 : 3,975.88 = 1,821.21 : x
  2. Step 2: Convert to fraction form
    2,655.91/3,975.88 = 1,821.21/x
  3. Step 3: Cross multiply
    2,655.91x = 3,975.88 × 1,821.21
  4. Step 4: Simplify right side
    2,655.91x = 7,240,883.43
  5. Step 5: Solve for x
    x = 7,240,883.43/2,655.91
  6. Step 6: Final answer
    x = 2,726.33

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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.