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Finding the Fourth Proportional to 27,755.35, 41,635.65 and 7,764.84

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Solution

The fourth proportional to 27,755.35, 41,635.65 and 7,764.84 is: 11,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.35 : 41,635.65 = 7,764.84 : x
  2. Step 2: Convert to fraction form
    27,755.35/41,635.65 = 7,764.84/x
  3. Step 3: Cross multiply
    27,755.35x = 41,635.65 × 7,764.84
  4. Step 4: Simplify right side
    27,755.35x = 323,294,160.55
  5. Step 5: Solve for x
    x = 323,294,160.55/27,755.35
  6. Step 6: Final answer
    x = 11,647.99

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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.