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Finding the Fourth Proportional to 16,305.96, 24,455.70 and 7,982.40

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Solution

The fourth proportional to 16,305.96, 24,455.70 and 7,982.40 is: 11,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.96 : 24,455.70 = 7,982.40 : x
  2. Step 2: Convert to fraction form
    16,305.96/24,455.70 = 7,982.40/x
  3. Step 3: Cross multiply
    16,305.96x = 24,455.70 × 7,982.40
  4. Step 4: Simplify right side
    16,305.96x = 195,215,179.68
  5. Step 5: Solve for x
    x = 195,215,179.68/16,305.96
  6. Step 6: Final answer
    x = 11,972.01

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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.