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Finding the Fourth Proportional to 2,616.99, 3,926.08 and 768.24

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Solution

The fourth proportional to 2,616.99, 3,926.08 and 768.24 is: 1,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.99 : 3,926.08 = 768.24 : x
  2. Step 2: Convert to fraction form
    2,616.99/3,926.08 = 768.24/x
  3. Step 3: Cross multiply
    2,616.99x = 3,926.08 × 768.24
  4. Step 4: Simplify right side
    2,616.99x = 3,016,171.70
  5. Step 5: Solve for x
    x = 3,016,171.70/2,616.99
  6. Step 6: Final answer
    x = 1,152.53

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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.