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Finding the Fourth Proportional to 11,814, 16,303.32 and 6,508.82

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Solution

The fourth proportional to 11,814, 16,303.32 and 6,508.82 is: 8,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 16,303.32 = 6,508.82 : x
  2. Step 2: Convert to fraction form
    11,814/16,303.32 = 6,508.82/x
  3. Step 3: Cross multiply
    11,814x = 16,303.32 × 6,508.82
  4. Step 4: Simplify right side
    11,814x = 106,115,375.28
  5. Step 5: Solve for x
    x = 106,115,375.28/11,814
  6. Step 6: Final answer
    x = 8,982.17

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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.