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Finding the Fourth Proportional to 27,775.38, 41,665.74 and 7,784.88

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Solution

The fourth proportional to 27,775.38, 41,665.74 and 7,784.88 is: 11,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.38 : 41,665.74 = 7,784.88 : x
  2. Step 2: Convert to fraction form
    27,775.38/41,665.74 = 7,784.88/x
  3. Step 3: Cross multiply
    27,775.38x = 41,665.74 × 7,784.88
  4. Step 4: Simplify right side
    27,775.38x = 324,362,786.01
  5. Step 5: Solve for x
    x = 324,362,786.01/27,775.38
  6. Step 6: Final answer
    x = 11,678.07

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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.