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Finding the Fourth Proportional to 6,321.14, 8,723.16 and 3,488.50

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Solution

The fourth proportional to 6,321.14, 8,723.16 and 3,488.50 is: 4,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.14 : 8,723.16 = 3,488.50 : x
  2. Step 2: Convert to fraction form
    6,321.14/8,723.16 = 3,488.50/x
  3. Step 3: Cross multiply
    6,321.14x = 8,723.16 × 3,488.50
  4. Step 4: Simplify right side
    6,321.14x = 30,430,721.85
  5. Step 5: Solve for x
    x = 30,430,721.85/6,321.14
  6. Step 6: Final answer
    x = 4,814.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.