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Finding the Fourth Proportional to 27,850.98, 41,780.38 and 8,130.98

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Solution

The fourth proportional to 27,850.98, 41,780.38 and 8,130.98 is: 12,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.98 : 41,780.38 = 8,130.98 : x
  2. Step 2: Convert to fraction form
    27,850.98/41,780.38 = 8,130.98/x
  3. Step 3: Cross multiply
    27,850.98x = 41,780.38 × 8,130.98
  4. Step 4: Simplify right side
    27,850.98x = 339,715,434.17
  5. Step 5: Solve for x
    x = 339,715,434.17/27,850.98
  6. Step 6: Final answer
    x = 12,197.61

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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.