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Finding the Fourth Proportional to 6,489.08, 9,739.78 and 4,016.42

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Solution

The fourth proportional to 6,489.08, 9,739.78 and 4,016.42 is: 6,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.08 : 9,739.78 = 4,016.42 : x
  2. Step 2: Convert to fraction form
    6,489.08/9,739.78 = 4,016.42/x
  3. Step 3: Cross multiply
    6,489.08x = 9,739.78 × 4,016.42
  4. Step 4: Simplify right side
    6,489.08x = 39,119,061.50
  5. Step 5: Solve for x
    x = 39,119,061.50/6,489.08
  6. Step 6: Final answer
    x = 6,028.44

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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.