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Finding the Fourth Proportional to 27,756, 41,597.55 and 12,757.50

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Solution

The fourth proportional to 27,756, 41,597.55 and 12,757.50 is: 19,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 41,597.55 = 12,757.50 : x
  2. Step 2: Convert to fraction form
    27,756/41,597.55 = 12,757.50/x
  3. Step 3: Cross multiply
    27,756x = 41,597.55 × 12,757.50
  4. Step 4: Simplify right side
    27,756x = 530,680,744.13
  5. Step 5: Solve for x
    x = 530,680,744.13/27,756
  6. Step 6: Final answer
    x = 19,119.50

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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.