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Finding the Fourth Proportional to 3,493.80, 4,821.24 and 1,921.80

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Solution

The fourth proportional to 3,493.80, 4,821.24 and 1,921.80 is: 2,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.80 : 4,821.24 = 1,921.80 : x
  2. Step 2: Convert to fraction form
    3,493.80/4,821.24 = 1,921.80/x
  3. Step 3: Cross multiply
    3,493.80x = 4,821.24 × 1,921.80
  4. Step 4: Simplify right side
    3,493.80x = 9,265,459.03
  5. Step 5: Solve for x
    x = 9,265,459.03/3,493.80
  6. Step 6: Final answer
    x = 2,651.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.