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Finding the Fourth Proportional to 3,211.65, 4,820.27 and 1,827.77

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Solution

The fourth proportional to 3,211.65, 4,820.27 and 1,827.77 is: 2,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.65 : 4,820.27 = 1,827.77 : x
  2. Step 2: Convert to fraction form
    3,211.65/4,820.27 = 1,827.77/x
  3. Step 3: Cross multiply
    3,211.65x = 4,820.27 × 1,827.77
  4. Step 4: Simplify right side
    3,211.65x = 8,810,311.66
  5. Step 5: Solve for x
    x = 8,810,311.66/3,211.65
  6. Step 6: Final answer
    x = 2,743.24

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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.