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Finding the Fourth Proportional to 5,811.84, 8,714.88 and 2,113.92

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Solution

The fourth proportional to 5,811.84, 8,714.88 and 2,113.92 is: 3,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.84 : 8,714.88 = 2,113.92 : x
  2. Step 2: Convert to fraction form
    5,811.84/8,714.88 = 2,113.92/x
  3. Step 3: Cross multiply
    5,811.84x = 8,714.88 × 2,113.92
  4. Step 4: Simplify right side
    5,811.84x = 18,422,559.13
  5. Step 5: Solve for x
    x = 18,422,559.13/5,811.84
  6. Step 6: Final answer
    x = 3,169.83

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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.