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Finding the Fourth Proportional to 14,416.76, 19,896.90 and 8,129

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Solution

The fourth proportional to 14,416.76, 19,896.90 and 8,129 is: 11,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.76 : 19,896.90 = 8,129 : x
  2. Step 2: Convert to fraction form
    14,416.76/19,896.90 = 8,129/x
  3. Step 3: Cross multiply
    14,416.76x = 19,896.90 × 8,129
  4. Step 4: Simplify right side
    14,416.76x = 161,741,900.10
  5. Step 5: Solve for x
    x = 161,741,900.10/14,416.76
  6. Step 6: Final answer
    x = 11,219.02

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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.