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Finding the Fourth Proportional to 6,409.56, 8,849.34 and 3,927

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Solution

The fourth proportional to 6,409.56, 8,849.34 and 3,927 is: 5,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.56 : 8,849.34 = 3,927 : x
  2. Step 2: Convert to fraction form
    6,409.56/8,849.34 = 3,927/x
  3. Step 3: Cross multiply
    6,409.56x = 8,849.34 × 3,927
  4. Step 4: Simplify right side
    6,409.56x = 34,751,358.18
  5. Step 5: Solve for x
    x = 34,751,358.18/6,409.56
  6. Step 6: Final answer
    x = 5,421.80

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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.