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Finding the Fourth Proportional to 2,777.61, 3,830.18 and 1,727.85

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Solution

The fourth proportional to 2,777.61, 3,830.18 and 1,727.85 is: 2,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.61 : 3,830.18 = 1,727.85 : x
  2. Step 2: Convert to fraction form
    2,777.61/3,830.18 = 1,727.85/x
  3. Step 3: Cross multiply
    2,777.61x = 3,830.18 × 1,727.85
  4. Step 4: Simplify right side
    2,777.61x = 6,617,967.87
  5. Step 5: Solve for x
    x = 6,617,967.87/2,777.61
  6. Step 6: Final answer
    x = 2,382.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.