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Finding the Fourth Proportional to 37,189.88, 55,782 and 12,230.74

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Solution

The fourth proportional to 37,189.88, 55,782 and 12,230.74 is: 18,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.88 : 55,782 = 12,230.74 : x
  2. Step 2: Convert to fraction form
    37,189.88/55,782 = 12,230.74/x
  3. Step 3: Cross multiply
    37,189.88x = 55,782 × 12,230.74
  4. Step 4: Simplify right side
    37,189.88x = 682,255,138.68
  5. Step 5: Solve for x
    x = 682,255,138.68/37,189.88
  6. Step 6: Final answer
    x = 18,345.18

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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.