Home / 5,114.28-7,672.44-1,827.84

Finding the Fourth Proportional to 5,114.28, 7,672.44 and 1,827.84

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Solution

The fourth proportional to 5,114.28, 7,672.44 and 1,827.84 is: 2,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.28 : 7,672.44 = 1,827.84 : x
  2. Step 2: Convert to fraction form
    5,114.28/7,672.44 = 1,827.84/x
  3. Step 3: Cross multiply
    5,114.28x = 7,672.44 × 1,827.84
  4. Step 4: Simplify right side
    5,114.28x = 14,023,992.73
  5. Step 5: Solve for x
    x = 14,023,992.73/5,114.28
  6. Step 6: Final answer
    x = 2,742.12

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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.