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Finding the Fourth Proportional to 13,991.40, 20,994.48 and 6,201

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Solution

The fourth proportional to 13,991.40, 20,994.48 and 6,201 is: 9,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.40 : 20,994.48 = 6,201 : x
  2. Step 2: Convert to fraction form
    13,991.40/20,994.48 = 6,201/x
  3. Step 3: Cross multiply
    13,991.40x = 20,994.48 × 6,201
  4. Step 4: Simplify right side
    13,991.40x = 130,186,770.48
  5. Step 5: Solve for x
    x = 130,186,770.48/13,991.40
  6. Step 6: Final answer
    x = 9,304.77

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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.