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Finding the Fourth Proportional to 3,827.76, 5,741.76 and 1,230.96

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Solution

The fourth proportional to 3,827.76, 5,741.76 and 1,230.96 is: 1,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.76 : 5,741.76 = 1,230.96 : x
  2. Step 2: Convert to fraction form
    3,827.76/5,741.76 = 1,230.96/x
  3. Step 3: Cross multiply
    3,827.76x = 5,741.76 × 1,230.96
  4. Step 4: Simplify right side
    3,827.76x = 7,067,876.89
  5. Step 5: Solve for x
    x = 7,067,876.89/3,827.76
  6. Step 6: Final answer
    x = 1,846.48

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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.