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Finding the Fourth Proportional to 6,321.65, 8,709.63 and 4,405.66

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Solution

The fourth proportional to 6,321.65, 8,709.63 and 4,405.66 is: 6,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.65 : 8,709.63 = 4,405.66 : x
  2. Step 2: Convert to fraction form
    6,321.65/8,709.63 = 4,405.66/x
  3. Step 3: Cross multiply
    6,321.65x = 8,709.63 × 4,405.66
  4. Step 4: Simplify right side
    6,321.65x = 38,371,630.21
  5. Step 5: Solve for x
    x = 38,371,630.21/6,321.65
  6. Step 6: Final answer
    x = 6,069.88

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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.