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Finding the Fourth Proportional to 4,651.56, 6,978.12 and 2,311.69

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Solution

The fourth proportional to 4,651.56, 6,978.12 and 2,311.69 is: 3,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.56 : 6,978.12 = 2,311.69 : x
  2. Step 2: Convert to fraction form
    4,651.56/6,978.12 = 2,311.69/x
  3. Step 3: Cross multiply
    4,651.56x = 6,978.12 × 2,311.69
  4. Step 4: Simplify right side
    4,651.56x = 16,131,250.22
  5. Step 5: Solve for x
    x = 16,131,250.22/4,651.56
  6. Step 6: Final answer
    x = 3,467.92

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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.