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Finding the Fourth Proportional to 11,742, 16,204.08 and 7,027.20

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Solution

The fourth proportional to 11,742, 16,204.08 and 7,027.20 is: 9,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 16,204.08 = 7,027.20 : x
  2. Step 2: Convert to fraction form
    11,742/16,204.08 = 7,027.20/x
  3. Step 3: Cross multiply
    11,742x = 16,204.08 × 7,027.20
  4. Step 4: Simplify right side
    11,742x = 113,869,310.98
  5. Step 5: Solve for x
    x = 113,869,310.98/11,742
  6. Step 6: Final answer
    x = 9,697.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.