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Finding the Fourth Proportional to 2,616.50, 3,924.46 and 767.63

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Solution

The fourth proportional to 2,616.50, 3,924.46 and 767.63 is: 1,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.50 : 3,924.46 = 767.63 : x
  2. Step 2: Convert to fraction form
    2,616.50/3,924.46 = 767.63/x
  3. Step 3: Cross multiply
    2,616.50x = 3,924.46 × 767.63
  4. Step 4: Simplify right side
    2,616.50x = 3,012,533.23
  5. Step 5: Solve for x
    x = 3,012,533.23/2,616.50
  6. Step 6: Final answer
    x = 1,151.36

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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.