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Finding the Fourth Proportional to 13,954.14, 20,938.38 and 7,712.98

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Solution

The fourth proportional to 13,954.14, 20,938.38 and 7,712.98 is: 11,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.14 : 20,938.38 = 7,712.98 : x
  2. Step 2: Convert to fraction form
    13,954.14/20,938.38 = 7,712.98/x
  3. Step 3: Cross multiply
    13,954.14x = 20,938.38 × 7,712.98
  4. Step 4: Simplify right side
    13,954.14x = 161,497,267.61
  5. Step 5: Solve for x
    x = 161,497,267.61/13,954.14
  6. Step 6: Final answer
    x = 11,573.43

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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.