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Finding the Fourth Proportional to 20,817.39, 28,693 and 15,780

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Solution

The fourth proportional to 20,817.39, 28,693 and 15,780 is: 21,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.39 : 28,693 = 15,780 : x
  2. Step 2: Convert to fraction form
    20,817.39/28,693 = 15,780/x
  3. Step 3: Cross multiply
    20,817.39x = 28,693 × 15,780
  4. Step 4: Simplify right side
    20,817.39x = 452,775,540
  5. Step 5: Solve for x
    x = 452,775,540/20,817.39
  6. Step 6: Final answer
    x = 21,749.87

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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.