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Finding the Fourth Proportional to 12,046.41, 18,042.08 and 10,138.05

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Solution

The fourth proportional to 12,046.41, 18,042.08 and 10,138.05 is: 15,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.41 : 18,042.08 = 10,138.05 : x
  2. Step 2: Convert to fraction form
    12,046.41/18,042.08 = 10,138.05/x
  3. Step 3: Cross multiply
    12,046.41x = 18,042.08 × 10,138.05
  4. Step 4: Simplify right side
    12,046.41x = 182,911,458.45
  5. Step 5: Solve for x
    x = 182,911,458.45/12,046.41
  6. Step 6: Final answer
    x = 15,183.90

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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.