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Finding the Fourth Proportional to 20,509.82, 30,768.86 and 6,472.02

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Solution

The fourth proportional to 20,509.82, 30,768.86 and 6,472.02 is: 9,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.82 : 30,768.86 = 6,472.02 : x
  2. Step 2: Convert to fraction form
    20,509.82/30,768.86 = 6,472.02/x
  3. Step 3: Cross multiply
    20,509.82x = 30,768.86 × 6,472.02
  4. Step 4: Simplify right side
    20,509.82x = 199,136,635.79
  5. Step 5: Solve for x
    x = 199,136,635.79/20,509.82
  6. Step 6: Final answer
    x = 9,709.33

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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.