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Finding the Fourth Proportional to 27,855.72, 41,784.58 and 9,136.20

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Solution

The fourth proportional to 27,855.72, 41,784.58 and 9,136.20 is: 13,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.72 : 41,784.58 = 9,136.20 : x
  2. Step 2: Convert to fraction form
    27,855.72/41,784.58 = 9,136.20/x
  3. Step 3: Cross multiply
    27,855.72x = 41,784.58 × 9,136.20
  4. Step 4: Simplify right side
    27,855.72x = 381,752,279.80
  5. Step 5: Solve for x
    x = 381,752,279.80/27,855.72
  6. Step 6: Final answer
    x = 13,704.63

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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.