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Finding the Fourth Proportional to 20,705.68, 28,607.24 and 14,446

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Solution

The fourth proportional to 20,705.68, 28,607.24 and 14,446 is: 19,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.68 : 28,607.24 = 14,446 : x
  2. Step 2: Convert to fraction form
    20,705.68/28,607.24 = 14,446/x
  3. Step 3: Cross multiply
    20,705.68x = 28,607.24 × 14,446
  4. Step 4: Simplify right side
    20,705.68x = 413,260,189.04
  5. Step 5: Solve for x
    x = 413,260,189.04/20,705.68
  6. Step 6: Final answer
    x = 19,958.78

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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.