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Finding the Fourth Proportional to 18,550.78, 27,838.24 and 8,031.06

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Solution

The fourth proportional to 18,550.78, 27,838.24 and 8,031.06 is: 12,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,550.78 : 27,838.24 = 8,031.06 : x
  2. Step 2: Convert to fraction form
    18,550.78/27,838.24 = 8,031.06/x
  3. Step 3: Cross multiply
    18,550.78x = 27,838.24 × 8,031.06
  4. Step 4: Simplify right side
    18,550.78x = 223,570,575.73
  5. Step 5: Solve for x
    x = 223,570,575.73/18,550.78
  6. Step 6: Final answer
    x = 12,051.82

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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.