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Finding the Fourth Proportional to 18,666.30, 27,946.80 and 14,513.70

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Solution

The fourth proportional to 18,666.30, 27,946.80 and 14,513.70 is: 21,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666.30 : 27,946.80 = 14,513.70 : x
  2. Step 2: Convert to fraction form
    18,666.30/27,946.80 = 14,513.70/x
  3. Step 3: Cross multiply
    18,666.30x = 27,946.80 × 14,513.70
  4. Step 4: Simplify right side
    18,666.30x = 405,611,471.16
  5. Step 5: Solve for x
    x = 405,611,471.16/18,666.30
  6. Step 6: Final answer
    x = 21,729.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.