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Finding the Fourth Proportional to 13,783.20, 20,674.80 and 10,672.80

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Solution

The fourth proportional to 13,783.20, 20,674.80 and 10,672.80 is: 16,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.20 : 20,674.80 = 10,672.80 : x
  2. Step 2: Convert to fraction form
    13,783.20/20,674.80 = 10,672.80/x
  3. Step 3: Cross multiply
    13,783.20x = 20,674.80 × 10,672.80
  4. Step 4: Simplify right side
    13,783.20x = 220,658,005.44
  5. Step 5: Solve for x
    x = 220,658,005.44/13,783.20
  6. Step 6: Final answer
    x = 16,009.20

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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.