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Finding the Fourth Proportional to 36,854, 55,289.64 and 12,230

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Solution

The fourth proportional to 36,854, 55,289.64 and 12,230 is: 18,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,854 : 55,289.64 = 12,230 : x
  2. Step 2: Convert to fraction form
    36,854/55,289.64 = 12,230/x
  3. Step 3: Cross multiply
    36,854x = 55,289.64 × 12,230
  4. Step 4: Simplify right side
    36,854x = 676,192,297.20
  5. Step 5: Solve for x
    x = 676,192,297.20/36,854
  6. Step 6: Final answer
    x = 18,347.87

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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.