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Finding the Fourth Proportional to 3,493.71, 4,821.20 and 1,921.80

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Solution

The fourth proportional to 3,493.71, 4,821.20 and 1,921.80 is: 2,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.71 : 4,821.20 = 1,921.80 : x
  2. Step 2: Convert to fraction form
    3,493.71/4,821.20 = 1,921.80/x
  3. Step 3: Cross multiply
    3,493.71x = 4,821.20 × 1,921.80
  4. Step 4: Simplify right side
    3,493.71x = 9,265,372.55
  5. Step 5: Solve for x
    x = 9,265,372.55/3,493.71
  6. Step 6: Final answer
    x = 2,652.02

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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.