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Finding the Fourth Proportional to 8,538.82, 12,808.20 and 3,973.99

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Solution

The fourth proportional to 8,538.82, 12,808.20 and 3,973.99 is: 5,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.82 : 12,808.20 = 3,973.99 : x
  2. Step 2: Convert to fraction form
    8,538.82/12,808.20 = 3,973.99/x
  3. Step 3: Cross multiply
    8,538.82x = 12,808.20 × 3,973.99
  4. Step 4: Simplify right side
    8,538.82x = 50,899,658.72
  5. Step 5: Solve for x
    x = 50,899,658.72/8,538.82
  6. Step 6: Final answer
    x = 5,960.97

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1.5x scale

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.