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Finding the Fourth Proportional to 27,146.88, 40,728.96 and 13,288.32

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Solution

The fourth proportional to 27,146.88, 40,728.96 and 13,288.32 is: 19,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.88 : 40,728.96 = 13,288.32 : x
  2. Step 2: Convert to fraction form
    27,146.88/40,728.96 = 13,288.32/x
  3. Step 3: Cross multiply
    27,146.88x = 40,728.96 × 13,288.32
  4. Step 4: Simplify right side
    27,146.88x = 541,219,453.75
  5. Step 5: Solve for x
    x = 541,219,453.75/27,146.88
  6. Step 6: Final answer
    x = 19,936.71

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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.