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Finding the Fourth Proportional to 13,735.20, 20,602.80 and 12,266.40

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Solution

The fourth proportional to 13,735.20, 20,602.80 and 12,266.40 is: 18,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.20 : 20,602.80 = 12,266.40 : x
  2. Step 2: Convert to fraction form
    13,735.20/20,602.80 = 12,266.40/x
  3. Step 3: Cross multiply
    13,735.20x = 20,602.80 × 12,266.40
  4. Step 4: Simplify right side
    13,735.20x = 252,722,185.92
  5. Step 5: Solve for x
    x = 252,722,185.92/13,735.20
  6. Step 6: Final answer
    x = 18,399.60

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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.