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Finding the Fourth Proportional to 20,207.84, 27,891.12 and 13,580

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Solution

The fourth proportional to 20,207.84, 27,891.12 and 13,580 is: 18,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.84 : 27,891.12 = 13,580 : x
  2. Step 2: Convert to fraction form
    20,207.84/27,891.12 = 13,580/x
  3. Step 3: Cross multiply
    20,207.84x = 27,891.12 × 13,580
  4. Step 4: Simplify right side
    20,207.84x = 378,761,409.60
  5. Step 5: Solve for x
    x = 378,761,409.60/20,207.84
  6. Step 6: Final answer
    x = 18,743.29

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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.