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Finding the Fourth Proportional to 5,151.20, 7,729.20 and 3,855.20

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Solution

The fourth proportional to 5,151.20, 7,729.20 and 3,855.20 is: 5,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.20 : 7,729.20 = 3,855.20 : x
  2. Step 2: Convert to fraction form
    5,151.20/7,729.20 = 3,855.20/x
  3. Step 3: Cross multiply
    5,151.20x = 7,729.20 × 3,855.20
  4. Step 4: Simplify right side
    5,151.20x = 29,797,611.84
  5. Step 5: Solve for x
    x = 29,797,611.84/5,151.20
  6. Step 6: Final answer
    x = 5,784.60

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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.