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Finding the Fourth Proportional to 27,429.78, 41,145.30 and 8,961.78

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Solution

The fourth proportional to 27,429.78, 41,145.30 and 8,961.78 is: 13,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.78 : 41,145.30 = 8,961.78 : x
  2. Step 2: Convert to fraction form
    27,429.78/41,145.30 = 8,961.78/x
  3. Step 3: Cross multiply
    27,429.78x = 41,145.30 × 8,961.78
  4. Step 4: Simplify right side
    27,429.78x = 368,735,126.63
  5. Step 5: Solve for x
    x = 368,735,126.63/27,429.78
  6. Step 6: Final answer
    x = 13,442.88

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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.