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Finding the Fourth Proportional to 27,950.89, 38,573.09 and 15,205

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Solution

The fourth proportional to 27,950.89, 38,573.09 and 15,205 is: 20,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.89 : 38,573.09 = 15,205 : x
  2. Step 2: Convert to fraction form
    27,950.89/38,573.09 = 15,205/x
  3. Step 3: Cross multiply
    27,950.89x = 38,573.09 × 15,205
  4. Step 4: Simplify right side
    27,950.89x = 586,503,833.45
  5. Step 5: Solve for x
    x = 586,503,833.45/27,950.89
  6. Step 6: Final answer
    x = 20,983.37

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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.