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Finding the Fourth Proportional to 2,724.57, 4,086.86 and 776.77

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Solution

The fourth proportional to 2,724.57, 4,086.86 and 776.77 is: 1,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.57 : 4,086.86 = 776.77 : x
  2. Step 2: Convert to fraction form
    2,724.57/4,086.86 = 776.77/x
  3. Step 3: Cross multiply
    2,724.57x = 4,086.86 × 776.77
  4. Step 4: Simplify right side
    2,724.57x = 3,174,550.24
  5. Step 5: Solve for x
    x = 3,174,550.24/2,724.57
  6. Step 6: Final answer
    x = 1,165.16

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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.