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Finding the Fourth Proportional to 12,005.12, 17,982.08 and 6,808.32

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Solution

The fourth proportional to 12,005.12, 17,982.08 and 6,808.32 is: 10,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.12 : 17,982.08 = 6,808.32 : x
  2. Step 2: Convert to fraction form
    12,005.12/17,982.08 = 6,808.32/x
  3. Step 3: Cross multiply
    12,005.12x = 17,982.08 × 6,808.32
  4. Step 4: Simplify right side
    12,005.12x = 122,427,754.91
  5. Step 5: Solve for x
    x = 122,427,754.91/12,005.12
  6. Step 6: Final answer
    x = 10,197.96

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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.