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Finding the Fourth Proportional to 14,135.88, 19,504.98 and 9,165

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Solution

The fourth proportional to 14,135.88, 19,504.98 and 9,165 is: 12,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.88 : 19,504.98 = 9,165 : x
  2. Step 2: Convert to fraction form
    14,135.88/19,504.98 = 9,165/x
  3. Step 3: Cross multiply
    14,135.88x = 19,504.98 × 9,165
  4. Step 4: Simplify right side
    14,135.88x = 178,763,141.70
  5. Step 5: Solve for x
    x = 178,763,141.70/14,135.88
  6. Step 6: Final answer
    x = 12,646.06

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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.