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Finding the Fourth Proportional to 27,676.80, 41,515.20 and 9,208.80

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Solution

The fourth proportional to 27,676.80, 41,515.20 and 9,208.80 is: 13,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.80 : 41,515.20 = 9,208.80 : x
  2. Step 2: Convert to fraction form
    27,676.80/41,515.20 = 9,208.80/x
  3. Step 3: Cross multiply
    27,676.80x = 41,515.20 × 9,208.80
  4. Step 4: Simplify right side
    27,676.80x = 382,305,173.76
  5. Step 5: Solve for x
    x = 382,305,173.76/27,676.80
  6. Step 6: Final answer
    x = 13,813.20

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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.