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Finding the Fourth Proportional to 3,221.65, 4,825.14 and 1,920.43

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Solution

The fourth proportional to 3,221.65, 4,825.14 and 1,920.43 is: 2,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.65 : 4,825.14 = 1,920.43 : x
  2. Step 2: Convert to fraction form
    3,221.65/4,825.14 = 1,920.43/x
  3. Step 3: Cross multiply
    3,221.65x = 4,825.14 × 1,920.43
  4. Step 4: Simplify right side
    3,221.65x = 9,266,343.61
  5. Step 5: Solve for x
    x = 9,266,343.61/3,221.65
  6. Step 6: Final answer
    x = 2,876.27

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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.