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Finding the Fourth Proportional to 12,149.60, 18,175.80 and 10,524.20

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Solution

The fourth proportional to 12,149.60, 18,175.80 and 10,524.20 is: 15,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.60 : 18,175.80 = 10,524.20 : x
  2. Step 2: Convert to fraction form
    12,149.60/18,175.80 = 10,524.20/x
  3. Step 3: Cross multiply
    12,149.60x = 18,175.80 × 10,524.20
  4. Step 4: Simplify right side
    12,149.60x = 191,285,754.36
  5. Step 5: Solve for x
    x = 191,285,754.36/12,149.60
  6. Step 6: Final answer
    x = 15,744.20

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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.