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Finding the Fourth Proportional to 13,884.40, 20,836.20 and 9,991.60

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Solution

The fourth proportional to 13,884.40, 20,836.20 and 9,991.60 is: 14,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.40 : 20,836.20 = 9,991.60 : x
  2. Step 2: Convert to fraction form
    13,884.40/20,836.20 = 9,991.60/x
  3. Step 3: Cross multiply
    13,884.40x = 20,836.20 × 9,991.60
  4. Step 4: Simplify right side
    13,884.40x = 208,186,975.92
  5. Step 5: Solve for x
    x = 208,186,975.92/13,884.40
  6. Step 6: Final answer
    x = 14,994.31

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1.5x scale

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.