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Finding the Fourth Proportional to 20,063.88, 27,677.43 and 12,978

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Solution

The fourth proportional to 20,063.88, 27,677.43 and 12,978 is: 17,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,063.88 : 27,677.43 = 12,978 : x
  2. Step 2: Convert to fraction form
    20,063.88/27,677.43 = 12,978/x
  3. Step 3: Cross multiply
    20,063.88x = 27,677.43 × 12,978
  4. Step 4: Simplify right side
    20,063.88x = 359,197,686.54
  5. Step 5: Solve for x
    x = 359,197,686.54/20,063.88
  6. Step 6: Final answer
    x = 17,902.70

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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.