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Finding the Fourth Proportional to 14,471.80, 21,744.02 and 9,209.09

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Solution

The fourth proportional to 14,471.80, 21,744.02 and 9,209.09 is: 13,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.80 : 21,744.02 = 9,209.09 : x
  2. Step 2: Convert to fraction form
    14,471.80/21,744.02 = 9,209.09/x
  3. Step 3: Cross multiply
    14,471.80x = 21,744.02 × 9,209.09
  4. Step 4: Simplify right side
    14,471.80x = 200,242,637.14
  5. Step 5: Solve for x
    x = 200,242,637.14/14,471.80
  6. Step 6: Final answer
    x = 13,836.75

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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.