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Finding the Fourth Proportional to 27,477.78, 41,202.81 and 19,575.78

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Solution

The fourth proportional to 27,477.78, 41,202.81 and 19,575.78 is: 29,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.78 : 41,202.81 = 19,575.78 : x
  2. Step 2: Convert to fraction form
    27,477.78/41,202.81 = 19,575.78/x
  3. Step 3: Cross multiply
    27,477.78x = 41,202.81 × 19,575.78
  4. Step 4: Simplify right side
    27,477.78x = 806,577,143.94
  5. Step 5: Solve for x
    x = 806,577,143.94/27,477.78
  6. Step 6: Final answer
    x = 29,353.80

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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.