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Finding the Fourth Proportional to 3,821.60, 5,732.40 and 3,797.30

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Solution

The fourth proportional to 3,821.60, 5,732.40 and 3,797.30 is: 5,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.60 : 5,732.40 = 3,797.30 : x
  2. Step 2: Convert to fraction form
    3,821.60/5,732.40 = 3,797.30/x
  3. Step 3: Cross multiply
    3,821.60x = 5,732.40 × 3,797.30
  4. Step 4: Simplify right side
    3,821.60x = 21,767,642.52
  5. Step 5: Solve for x
    x = 21,767,642.52/3,821.60
  6. Step 6: Final answer
    x = 5,695.95

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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.