Home / 5,230.42-7,826.02-3,114.31

Finding the Fourth Proportional to 5,230.42, 7,826.02 and 3,114.31

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Solution

The fourth proportional to 5,230.42, 7,826.02 and 3,114.31 is: 4,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.42 : 7,826.02 = 3,114.31 : x
  2. Step 2: Convert to fraction form
    5,230.42/7,826.02 = 3,114.31/x
  3. Step 3: Cross multiply
    5,230.42x = 7,826.02 × 3,114.31
  4. Step 4: Simplify right side
    5,230.42x = 24,372,613.22
  5. Step 5: Solve for x
    x = 24,372,613.22/5,230.42
  6. Step 6: Final answer
    x = 4,659.78

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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.