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Finding the Fourth Proportional to 14,415.08, 19,891.62 and 8,129

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Solution

The fourth proportional to 14,415.08, 19,891.62 and 8,129 is: 11,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.08 : 19,891.62 = 8,129 : x
  2. Step 2: Convert to fraction form
    14,415.08/19,891.62 = 8,129/x
  3. Step 3: Cross multiply
    14,415.08x = 19,891.62 × 8,129
  4. Step 4: Simplify right side
    14,415.08x = 161,698,978.98
  5. Step 5: Solve for x
    x = 161,698,978.98/14,415.08
  6. Step 6: Final answer
    x = 11,217.35

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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.