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Finding the Fourth Proportional to 18,402, 27,561.68 and 14,212.72

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Solution

The fourth proportional to 18,402, 27,561.68 and 14,212.72 is: 21,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 27,561.68 = 14,212.72 : x
  2. Step 2: Convert to fraction form
    18,402/27,561.68 = 14,212.72/x
  3. Step 3: Cross multiply
    18,402x = 27,561.68 × 14,212.72
  4. Step 4: Simplify right side
    18,402x = 391,726,440.57
  5. Step 5: Solve for x
    x = 391,726,440.57/18,402
  6. Step 6: Final answer
    x = 21,287.17

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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.