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Finding the Fourth Proportional to 3,474.72, 5,212.80 and 2,823.84

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Solution

The fourth proportional to 3,474.72, 5,212.80 and 2,823.84 is: 4,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.72 : 5,212.80 = 2,823.84 : x
  2. Step 2: Convert to fraction form
    3,474.72/5,212.80 = 2,823.84/x
  3. Step 3: Cross multiply
    3,474.72x = 5,212.80 × 2,823.84
  4. Step 4: Simplify right side
    3,474.72x = 14,720,113.15
  5. Step 5: Solve for x
    x = 14,720,113.15/3,474.72
  6. Step 6: Final answer
    x = 4,236.35

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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.