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Finding the Fourth Proportional to 2,724.62, 4,086.77 and 776.77

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Solution

The fourth proportional to 2,724.62, 4,086.77 and 776.77 is: 1,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.62 : 4,086.77 = 776.77 : x
  2. Step 2: Convert to fraction form
    2,724.62/4,086.77 = 776.77/x
  3. Step 3: Cross multiply
    2,724.62x = 4,086.77 × 776.77
  4. Step 4: Simplify right side
    2,724.62x = 3,174,480.33
  5. Step 5: Solve for x
    x = 3,174,480.33/2,724.62
  6. Step 6: Final answer
    x = 1,165.11

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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.