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Finding the Fourth Proportional to 12,780.80, 19,138.80 and 12,197.60

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Solution

The fourth proportional to 12,780.80, 19,138.80 and 12,197.60 is: 18,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.80 : 19,138.80 = 12,197.60 : x
  2. Step 2: Convert to fraction form
    12,780.80/19,138.80 = 12,197.60/x
  3. Step 3: Cross multiply
    12,780.80x = 19,138.80 × 12,197.60
  4. Step 4: Simplify right side
    12,780.80x = 233,447,426.88
  5. Step 5: Solve for x
    x = 233,447,426.88/12,780.80
  6. Step 6: Final answer
    x = 18,265.48

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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.