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Finding the Fourth Proportional to 5,812.12, 8,715.96 and 2,113.44

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Solution

The fourth proportional to 5,812.12, 8,715.96 and 2,113.44 is: 3,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.12 : 8,715.96 = 2,113.44 : x
  2. Step 2: Convert to fraction form
    5,812.12/8,715.96 = 2,113.44/x
  3. Step 3: Cross multiply
    5,812.12x = 8,715.96 × 2,113.44
  4. Step 4: Simplify right side
    5,812.12x = 18,420,658.50
  5. Step 5: Solve for x
    x = 18,420,658.50/5,812.12
  6. Step 6: Final answer
    x = 3,169.35

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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.