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Finding the Fourth Proportional to 27,381, 37,785.79 and 14,805.75

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Solution

The fourth proportional to 27,381, 37,785.79 and 14,805.75 is: 20,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381 : 37,785.79 = 14,805.75 : x
  2. Step 2: Convert to fraction form
    27,381/37,785.79 = 14,805.75/x
  3. Step 3: Cross multiply
    27,381x = 37,785.79 × 14,805.75
  4. Step 4: Simplify right side
    27,381x = 559,446,960.29
  5. Step 5: Solve for x
    x = 559,446,960.29/27,381
  6. Step 6: Final answer
    x = 20,431.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.