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Finding the Fourth Proportional to 27,813, 38,382.84 and 15,238.56

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Solution

The fourth proportional to 27,813, 38,382.84 and 15,238.56 is: 21,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813 : 38,382.84 = 15,238.56 : x
  2. Step 2: Convert to fraction form
    27,813/38,382.84 = 15,238.56/x
  3. Step 3: Cross multiply
    27,813x = 38,382.84 × 15,238.56
  4. Step 4: Simplify right side
    27,813x = 584,899,210.31
  5. Step 5: Solve for x
    x = 584,899,210.31/27,813
  6. Step 6: Final answer
    x = 21,029.71

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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.